diff --git a/PCP.html b/PCP.html index cec0808..a675960 100644 --- a/PCP.html +++ b/PCP.html @@ -1,16 +1,90 @@ - - - -PCP - - - - - + + + +PCP + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
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-PCP Teaser +PCP Teaser
@@ -13091,7 +13097,7 @@
-

Overview

The PCP notebooks offer open-source educational material for a Preparation Course for Python (PCP) while using signal processing as a motivating and tangible application for practicing the programming concepts. Building upon the open-access Jupyter framework, the PCP notebooks consist of interactive documents that contain executable code, textbook-like explanations, mathematical formulas, plots, images, and sound examples. Assuming some general programming experience and basic knowledge in digital signal processing, the PCP notebooks are designed to serve several purposes.

+

Overview

The PCP notebooks offer open-source educational material for a Preparation Course for Python (PCP) while using signal processing as a motivating and tangible application for practicing the programming concepts. Building upon the open-access Jupyter framework, the PCP notebooks consist of interactive documents that contain executable code, textbook-like explanations, mathematical formulas, plots, images, and sound examples. Assuming some general programming experience and basic knowledge in digital signal processing, the PCP notebooks are designed to serve several purposes.

  • First, the PCP notebooks provide interactive and well-structured material that may be suited for self-study or may serve as course material. For example, we use the PCP notebooks as the basis for a one-week intensive preparatory course offered to new students admitted to the international Master's study programme Communications and Multimedia Engineering (CME).

    • @@ -13103,7 +13109,6 @@

    Overview

In summary, we hope that the PCP notebooks help students to naturally transition from starting to learn about Python programming and signal processing to beginning independent research following good scientific practices.

-
@@ -13111,25 +13116,20 @@

Overview

- -CC - -Note: The code, text, and figures of the PCP notebooks are licensed under the -MIT License. The latest version of the PCP notebooks is hosted on GitHub. Alternatively, you can download a zip-compressed archive containing the PCP notebooks and all data. Further details can be found in the PCP notebook on how to get started. We try to continuously improve the PCP notebooks and provide updates on a regular basis (current version: 1.1.2). For suggestions and feedback, please contact Meinard Müller. If you use and want to refer to the PCP notebooks, please cite: -
- +

CC

+

Note: The code, text, and figures of the PCP notebooks are licensed under the +MIT License. The latest version of the PCP notebooks is hosted on GitHub. Alternatively, you can download a zip-compressed archive containing the PCP notebooks and all data. Further details can be found in the PCP notebook on how to get started. We try to continuously improve the PCP notebooks and provide updates on a regular basis (current version: 1.1.3). For suggestions and feedback, please contact Meinard Müller. If you use and want to refer to the PCP notebooks, please cite: +

  • Meinard Müller and Sebastian Rosenzweig: PCP Notebooks: A Preparation Course for Python with a Focus on Signal Processing. The Journal of Open Source Education (JOSE), 5(47), 2022. -
    - Bibtex - PDF - GitHub -
    • -
- - +
+ Bibtex + PDF + GitHub + +
@@ -13137,111 +13137,99 @@

Overview

-

Get Started

If a static view of the PCP notebooks is enough for you, the exported HTML versions can be used right away without any installation. All material, including the explanations, the figures, and the audio examples, can be accessed by just following the HTML links. If you want to execute the Python code cells, you have to download the notebooks (along with the data), create an environment, and start a Jupyter server. You then need to follow the IPYNB links within the Jupyter session. As an alternative for executing the notebooks, one can also use web-based services such as Google colab or binder via the notebooks' GitHub repository. The necessary steps and technical details are explained in the PCP notebook on how to get started.

- +

Get Started

If a static view of the PCP notebooks is enough for you, the exported HTML versions can be used right away without any installation. All material, including the explanations, the figures, and the audio examples, can be accessed by just following the HTML links. If you want to execute the Python code cells, you have to download the notebooks (along with the data), create an environment, and start a Jupyter server. You then need to follow the IPYNB links within the Jupyter session. As an alternative for executing the notebooks, one can also use web-based services such as Google colab or binder via the notebooks' GitHub repository. The necessary steps and technical details are explained in the PCP notebook on how to get started.

-

Structure and Content

The collection of PCP notebooks is organized into ten units. Each unit, corresponding to an individual notebook, gives an overview, explains its learning objectives, and then presents the main content using executable code, textbook-like explanations, mathematical formulas, plots, images, and sound examples. At the end of each unit, one finds short coding exercises. For self-evaluation, the PCP notebooks provide for each exercise a sample solution in the form of a Python function contained in one of the modules of the Python package libpcp. Roughly speaking, the first half of the PCP notebooks covers general Python concepts, while the second half applies these programming concepts in the context of signal processing. The following table gives an overview of the PCP notebooks' ten units and their main content.

+

Structure and Content

The collection of PCP notebooks is organized into ten units. Each unit, corresponding to an individual notebook, gives an overview, explains its learning objectives, and then presents the main content using executable code, textbook-like explanations, mathematical formulas, plots, images, and sound examples. At the end of each unit, one finds short coding exercises. For self-evaluation, the PCP notebooks provide for each exercise a sample solution in the form of a Python function contained in one of the modules of the Python package libpcp. Roughly speaking, the first half of the PCP notebooks covers general Python concepts, while the second half applies these programming concepts in the context of signal processing. The following table gives an overview of the PCP notebooks' ten units and their main content.

- - - - - +++++ - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + - - - - - - - + + + + + + + + + + + + + - - - - - - - -
UnitTitleNotions, Techniques & AlgorithmsHTMLIPYNB
UnitTitleNotions, Techniques & AlgorithmsHTMLIPYNB
1Get StartedDownload; Conda; Python environment; Jupyter[html][ipynb]
1Get StartedDownload; Conda; Python environment; Jupyter[html][ipynb]
2Python BasicsHelp; variables; basic operators; list; tuple; boolean values; set; dictionary; type conversion; shallow and deep copy[html][ipynb]
2Python BasicsHelp; variables; basic operators; list; tuple; boolean values; set; dictionary; type conversion; shallow and deep copy[html][ipynb]
3NumPy BasicsArray; reshape; array operations; type conversion; constants; matrix[html][ipynb]
3NumPy BasicsArray; reshape; array operations; type conversion; constants; matrix[html][ipynb]
4Control Structures and FunctionsLoop; for; while; break; continue; Python function; efficiency; runtime[html][ipynb]
4Control Structures and FunctionsLoop; for; while; break; continue; Python function; efficiency; runtime[html][ipynb]
5Visualization Using MatplotlibPlot (1D); figure; imshow (2D); surface (3D); logarithmic axis[html][ipynb]
5Visualization Using MatplotlibPlot (1D); figure; imshow (2D); surface (3D); logarithmic axis[html][ipynb]
6Complex NumbersReal part; imaginary part; absolute value; angle; polar representation; complex operations; conjugate; polar coordinate plot; roots; Mandelbrot [html][ipynb]
6Complex NumbersReal part; imaginary part; absolute value; angle; polar representation; complex operations; conjugate; polar coordinate plot; roots; Mandelbrot [html][ipynb]
7Exponential FunctionPower series; exponentiation identity; Euler's formula; differential equation; roots of unity; Gaussian function; spiral[html][ipynb]
7Exponential FunctionPower series; exponentiation identity; Euler's formula; differential equation; roots of unity; Gaussian function; spiral[html][ipynb]
8Signals and SamplingContinuous-time signal; periodic; frequency; Hertz; amplitude; phase; discrete-time signal; sampling; aliasing; interference; beating; [html][ipynb]
8Signals and SamplingContinuous-time signal; periodic; frequency; Hertz; amplitude; phase; discrete-time signal; sampling; aliasing; interference; beating; [html][ipynb]
9Discrete Fourier Transform (DFT)Inner product; DFT; phase; optimality; DFT matrix; fast Fourier transform (FFT); FFT algorithm; runtime; time localization; chirp signal; inverse DFT[html][ipynb]
9Discrete Fourier Transform (DFT)Inner product; DFT; phase; optimality; DFT matrix; fast Fourier transform (FFT); FFT algorithm; runtime; time localization; chirp signal; inverse DFT[html][ipynb]
10Python Modules and PackagesPython modules; Python packages; libpcp; documentation; docstring; sample solutions to exercises[html][ipynb]
10Python Modules and PackagesPython modules; Python packages; libpcp; documentation; docstring; sample solutions to exercises[html][ipynb]
@@ -13249,56 +13237,49 @@

Structure and Content
-

Further Notes, Links, and Literature

The immediate contribution of the PCP notebooks is to provide basic material on Python programming as required, e.g., for more advanced lab courses in a signal processing curriculum. The PCP notebooks are not intended to give a comprehensive overview of Python programming, as provided by online sources such as The Python Tutorial or the Scipy Lecture Notes. Instead, restricting to simple data structures and basic functions (while avoiding more complex topics such as object-oriented programming), the PCP notebooks do not want to overwhelm students when using Python for the first time.

+

Further Notes, Links, and Literature

The immediate contribution of the PCP notebooks is to provide basic material on Python programming as required, e.g., for more advanced lab courses in a signal processing curriculum. The PCP notebooks are not intended to give a comprehensive overview of Python programming, as provided by online sources such as The Python Tutorial or the Scipy Lecture Notes. Instead, restricting to simple data structures and basic functions (while avoiding more complex topics such as object-oriented programming), the PCP notebooks do not want to overwhelm students when using Python for the first time.

When designing the PCP notebooks, one main motivation was to provide some basics as required for working with more advanced signal-processing toolboxes. In particular, the PCP notebooks are inspired and designed to bridge the gap to the FMP notebooks for teaching and learning fundamentals of music processing (FMP). Furthermore, we want to point out the excellent Python package librosa, which is a widely used Python library containing standardized and flexible reference implementations of many common methods in audio and music processing.

The following literature gives further pointers to educational material in the context of music and audio signal processing in the spirit of the PCP notebooks.

    -
  • Brian McFee, Colin Raffel, Dawen Liang, Daniel P.W. Ellis, Matt McVicar, Eric Battenberg, and Oriol Nieto: Librosa: Audio and Music Signal Analysis in Python. Proceedings the Python Science Conference, 2015. doi: 10.25080/Majora-7b98e3ed-003 -
    - Bibtex - PDF - GitHub -
    • - +
    + Bibtex + PDF + GitHub +
  • Brian McFee, Jong Wook Kim, Mark Cartwright, Justin Salamon, Rachel M. Bittner, and Juan Pablo Bello: Open-Source Practices for Music Signal Processing Research: Recommendations for Transparent, Sustainable, and Reproducible Audio Research. IEEE Signal Processing Magazine, 36(1) 128-137, 2019. doi: 10.1109/MSP.2018.2875349 -
    - Bibtex - PDF -
    • - - +
    + Bibtex + PDF +
  • -Meinard Müller: Fundamentals of Music Processing – Using Python and Jupyter Notebooks. Springer Verlag, 2021. -
    - Bibtex - Details +Meinard Müller: Fundamentals of Music Processing – Using Python and Jupyter Notebooks. Springer Verlag, 2021. +
    + Bibtex + Details
    • -
  • Meinard Müller, Brian McFee, and Katherine Kinnaird: Interactive Learning of Signal Processing Through Music: Making Fourier Analysis Concrete for Students. IEEE Signal Processing Magazine, 38(3) 73-84, 2021. doi: 10.1109/MSP.2021.3052181 -
    - Bibtex - PDF -
    • - +
    + Bibtex + PDF + +
  • Meinard Müller and Frank Zalkow: FMP Notebooks: Educational Material for Teaching and Learning Fundamentals of Music Processing. Proceedings of the International Conference on Music Information Retrieval (ISMIR), Delft, The Netherlands, 2019. -
    - Bibtex - PDF +
    + Bibtex + PDF
    • -
  • Meinard Müller and Frank Zalkow: libfmp: A Python Package for Fundamentals of Music Processing. Journal of Open Source Software (JOSS), 6(63) 3326:1-5, 2021. doi: 10.21105/joss.03326 -
    - Bibtex - PDF - GitHub -
    • - +
    + Bibtex + PDF + GitHub +
@@ -13306,12 +13287,12 @@

Further Notes, Links, and Literatu
-

Contact

-Prof. Dr. Meinard Müller
-Friedrich-Alexander Universität Erlangen-Nürnberg
-International Audio Laboratories Erlangen
-Lehrstuhl Semantic Audio Processing
-Am Wolfsmantel 33, 91058 Erlangen
+

Contact

+Prof. Dr. Meinard Müller
+Friedrich-Alexander Universität Erlangen-Nürnberg
+International Audio Laboratories Erlangen
+Lehrstuhl Semantic Audio Processing
+Am Wolfsmantel 33, 91058 Erlangen
Email: meinard.mueller@audiolabs-erlangen.de

@@ -13320,15 +13301,15 @@

Contact

-

Acknowledgment

The PCP notebooks build on material and insights that have been obtained in close collaboration with different people. We would like to express our gratitude to former and current students, collaborators, and colleagues who have influenced and supported us in creating this course, including (in alphabetical order):

- +

The International Audio Laboratories Erlangen are a joint institution of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) and Fraunhofer Institute for Integrated Circuits IIS.

@@ -13336,16 +13317,13 @@

Acknowledgment
-PCP License +PCP License

-
-
+
+
+ - - - - diff --git a/PCP.ipynb b/PCP.ipynb index 167998d..898b348 100644 --- a/PCP.ipynb +++ b/PCP.ipynb @@ -37,7 +37,7 @@ "\"CC\" \n", " \n", "Note: The code, text, and figures of the PCP notebooks are licensed under the\n", - "MIT License. The latest version of the PCP notebooks is hosted on GitHub. Alternatively, you can download a zip-compressed archive containing the PCP notebooks and all data. Further details can be found in the PCP notebook on how to get started. We try to continuously improve the PCP notebooks and provide updates on a regular basis (current version: 1.1.2). For suggestions and feedback, please contact Meinard Müller. If you use and want to refer to the PCP notebooks, please cite:\n", + "MIT License. The latest version of the PCP notebooks is hosted on GitHub. Alternatively, you can download a zip-compressed archive containing the PCP notebooks and all data. Further details can be found in the PCP notebook on how to get started. We try to continuously improve the PCP notebooks and provide updates on a regular basis (current version: 1.1.3). For suggestions and feedback, please contact Meinard Müller. If you use and want to refer to the PCP notebooks, please cite:\n", "
\n", "\n", "
-
In [18]:
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In [18]:
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#<solution>
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#<solution>
 # Your Solution
 #</solution>
 

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-
In [19]:
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In [19]:
-
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libpcp.numpy.exercise_numpy_array(show_result=show_result)
+

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libpcp.numpy.exercise_numpy_array(show_result=show_result)
 

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[10 11 12 13 14 15 16 17 18 19 20]
 [ 0  0  0  0 14 15 16  0  0  0  0]
 [ 0  0  0  0 14 15 16  0  0  0  0  4  5  6]
 [ 0  4  5  6 14 15 16]
-[16 15 14  6  5  4  0] Type: <class 'numpy.ndarray'>
-[16 15 14  6  5  4  0] Type: <class 'numpy.ndarray'>
-[16 15 14  6  5  4  0] Type: <class 'numpy.ndarray'>
-<reversed object at 0x7fb599a66a90> Type: <class 'reversed'>
-<reversed object at 0x7fb599a66e10> Type: <class 'reversed'>
+[16 15 14  6  5  4  0] Type: <class 'numpy.ndarray'>
+[16 15 14  6  5  4  0] Type: <class 'numpy.ndarray'>
+[16 15 14  6  5  4  0] Type: <class 'numpy.ndarray'>
+<reversed object at 0x7f6b89f84a60> Type: <class 'reversed'>
+<reversed object at 0x7f6b89f848b0> Type: <class 'reversed'>
-
-
-

+

-Recap: Matrices and Basic Operations
+Recap: Matrices and Basic Operations
Let $N,M\in\mathbb{N}$ be two positive integers. An $(N\times M)$-matrix $\mathbf{A}$ is a rectangular array of entries arranged in rows and columns. For example, if entries are real numbers, one also writes $\mathbf{A}\in\mathbb{R}^{N\times M}$. Let $a_{nm}\in\mathbb{R}$ denote the entry of $\mathbf{A}$ being in the $n^{\mathrm{th}}$ row and $m^{\mathrm{th}}$ column for $n\in[1:N]=\{1,2,...,N\}$ and $m\in[1:M]$. Then, one also often writes $\mathbf{A}=[a_{nm}]$. A vector is a matrix where either $N=1$ (then called row vector) or $M=1$ (then called column vector). -When computing with vectors and matrices, one has to pay attention that the dimensions $N$ and $M$ of the operands match properly. For example, for a matrix summation or matrix subtraction, the operands must be of same dimensions or one of them needs to be a scalar (in this case the operations are applied per entry). The multiplication of matrices refers to a matrix multiplication. For an $(N\times M)$-matrix $\mathbf{A} = [a_{nm}]$ and a $(M\times P)$-matrix $\mathbf{B} = [b_{mp}]$, the product matrix $\mathbf{C} = \mathbf{A}\mathbf{B}$ with entries $\mathbf{C}=[c_{np}]$ is defined by $c_{np} = \sum_{m=1}^M a_{nm}b_{mp}$ for $n\in[1:N]$ and $p\in[1:P]$. In other words, the entry $c_{np}$ is the inner product (sometimes also called scalar product) of $n^{\mathrm{th}}$ row of $\mathbf{A}$ and $p^{\mathrm{th}}$ column of $\mathbf{B}$. This calculation rule is illustrated by the following figure: - -PCP_fig_matmult -
+
+

When computing with vectors and matrices, one has to pay attention that the dimensions $N$ and $M$ of the operands match properly. For example, for a matrix summation or matrix subtraction, the operands must be of same dimensions or one of them needs to be a scalar (in this case the operations are applied per entry). The multiplication of matrices refers to a matrix multiplication. For an $(N\times M)$-matrix $\mathbf{A} = [a_{nm}]$ and a $(M\times P)$-matrix $\mathbf{B} = [b_{mp}]$, the product matrix $\mathbf{C} = \mathbf{A}\mathbf{B}$ with entries $\mathbf{C}=[c_{np}]$ is defined by $c_{np} = \sum_{m=1}^M a_{nm}b_{mp}$ for $n\in[1:N]$ and $p\in[1:P]$. In other words, the entry $c_{np}$ is the inner product (sometimes also called scalar product) of $n^{\mathrm{th}}$ row of $\mathbf{A}$ and $p^{\mathrm{th}}$ column of $\mathbf{B}$. This calculation rule is illustrated by the following figure:

+

PCP_fig_matmult +

@@ -14090,55 +13917,46 @@

Exercises and Results
-

+

-Exercise 2: Matrix Operations
+Exercise 2: Matrix Operations
    -
  • Construct a matrix $\mathbf{B} = \begin{bmatrix}2 & 2 & 2 & 2\\2 & 2 & 2 & 2\\0 & 0 & 0 & 0\\\end{bmatrix}$ just using the NumPy functions np.zeros, np.ones, and np.vstack. Check the matrix dimensions using np.shape.
    • -
  • Find the row and column index of the maximum entry of the matrix $\mathbf{D} = \begin{bmatrix}2 & 0 & 2\\-1 & 5 & 10\\-3 & 0 & 9\\\end{bmatrix}$ using the functions np.max, np.argmax and np.unravel_index. Why is it not sufficient to use np.argmax?
    • -
  • Given a row vector $\mathbf{v} = [3\;2\;1]$ and a column vector $\mathbf{w} = [6\;5\;4]^T$, compute $\mathbf{v}\mathbf{w}$ and $\mathbf{w}\mathbf{v}$ using np.dot and np.outer. What is the difference between np.multiply, np.dot, and np.outer?
    • -
  • Given $\mathbf{A} = \begin{bmatrix}1 & 2\\3 & 5\end{bmatrix}$, $\mathbf{v} = \begin{bmatrix}1\\4\end{bmatrix}$, compute $\mathbf{A}^{-1}$ and $\mathbf{A}^{-1}\mathbf{v}$ (using np.linalg.inv).
    • -
+
  • Construct a matrix $\mathbf{B} = \begin{bmatrix}2 & 2 & 2 & 2\\2 & 2 & 2 & 2\\0 & 0 & 0 & 0\\\end{bmatrix}$ just using the NumPy functions np.zeros, np.ones, and np.vstack. Check the matrix dimensions using np.shape.
    • +
  • Find the row and column index of the maximum entry of the matrix $\mathbf{D} = \begin{bmatrix}2 & 0 & 2\\-1 & 5 & 10\\-3 & 0 & 9\\\end{bmatrix}$ using the functions np.max, np.argmax and np.unravel_index. Why is it not sufficient to use np.argmax?
    • +
  • Given a row vector $\mathbf{v} = [3\;2\;1]$ and a column vector $\mathbf{w} = [6\;5\;4]^T$, compute $\mathbf{v}\mathbf{w}$ and $\mathbf{w}\mathbf{v}$ using np.dot and np.outer. What is the difference between np.multiply, np.dot, and np.outer?
    • +
  • Given $\mathbf{A} = \begin{bmatrix}1 & 2\\3 & 5\end{bmatrix}$, $\mathbf{v} = \begin{bmatrix}1\\4\end{bmatrix}$, compute $\mathbf{A}^{-1}$ and $\mathbf{A}^{-1}\mathbf{v}$ (using np.linalg.inv).
    • +

    -
    In [20]:
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    #<solution>
 # Your Solution
 #</solution>
 
    
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    libpcp.numpy.exercise_matrix_operation(show_result=show_result)
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    libpcp.numpy.exercise_matrix_operation(show_result=show_result)
 
    
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    Matrix B: 
 [[2. 2. 2. 2.]
@@ -14160,64 +13978,54 @@ 
    Exercises and Results
    -
    -
    -

    +

    -Exercise 3: Mathematical NumPy Functions
    -The NumPy package offers many different mathematical functions. Explore these functions by trying them out on small examples. In particular, you should gain a good understanding of the following concepts. +Exercise 3: Mathematical NumPy Functions
    +The NumPy package offers many different mathematical functions. Explore these functions by trying them out on small examples. In particular, you should gain a good understanding of the following concepts. +
      -
    • Generate a NumPy array v_deg containing the numbers $[0, 30, 45, 60, 90, 180]$. Apply the function np.deg2rad to convert this array (given in degree) to an array v_rad (given in radiants). Then apply the functions np.cos and np.sin and discuss the results.
      • -
    • Using the the same array as before, apply the exponential function np.exp(1j * v_rad). What is meant by 1j? What is the relation to np.cos and np.sin? Use the functions np.real, np.imag, and np.isclose to make this relation explicit. -
    • Try out different functions for rounding using the numbers $[-3.1416, -1.5708, 0, 1.5708, 3.1416]$. What is the difference between the functions np.round, np.floor, np.ceil, and np.trunc?
      • -
    +
  • Generate a NumPy array v_deg containing the numbers $[0, 30, 45, 60, 90, 180]$. Apply the function np.deg2rad to convert this array (given in degree) to an array v_rad (given in radiants). Then apply the functions np.cos and np.sin and discuss the results.
    • +
  • Using the the same array as before, apply the exponential function np.exp(1j * v_rad). What is meant by 1j? What is the relation to np.cos and np.sin? Use the functions np.real, np.imag, and np.isclose to make this relation explicit. +
  • Try out different functions for rounding using the numbers $[-3.1416, -1.5708, 0, 1.5708, 3.1416]$. What is the difference between the functions np.round, np.floor, np.ceil, and np.trunc?
    • +
    -
    In [22]:
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    -
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    #<solution>
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    #<solution>
 # Your Solution
 #</solution>
 
    
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    libpcp.numpy.exercise_numpy_math_function(show_result=show_result)
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    libpcp.numpy.exercise_numpy_math_function(show_result=show_result)
 
    
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      ==== Cos and sin function ====
@@ -14245,25 +14053,20 @@ 
    Exercises and Results
    -
    -
    -PCP License +PCP License
    -
    -
    +
    +
    + - - - - diff --git a/PCP_03_numpy.ipynb b/PCP_03_numpy.ipynb index 038cbf4..854fa50 100644 --- a/PCP_03_numpy.ipynb +++ b/PCP_03_numpy.ipynb @@ -55,24 +55,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:33.674197Z", - "iopub.status.busy": "2021-09-23T10:11:33.673427Z", - "iopub.status.idle": "2021-09-23T10:11:34.000883Z", - "shell.execute_reply": "2021-09-23T10:11:34.001662Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['ALLOW_THREADS', 'AxisError', 'BUFSIZE', 'CLIP', 'ComplexWarning', 'DataSource', 'ERR_CALL', 'ERR_DEFAULT', 'ERR_IGNORE', 'ERR_LOG', 'ERR_PRINT', 'ERR_RAISE', 'ERR_WARN', 'FLOATING_POINT_SUPPORT', 'FPE_DIVIDEBYZERO', 'FPE_INVALID', 'FPE_OVERFLOW', 'FPE_UNDERFLOW', 'False_', 'Inf', 'Infinity', 'MAXDIMS', 'MAY_SHARE_BOUNDS', 'MAY_SHARE_EXACT', 'MachAr', 'ModuleDeprecationWarning', 'NAN', 'NINF', 'NZERO', 'NaN', 'PINF', 'PZERO', 'RAISE', 'RankWarning', 'SHIFT_DIVIDEBYZERO', 'SHIFT_INVALID', 'SHIFT_OVERFLOW', 'SHIFT_UNDERFLOW', 'ScalarType', 'Tester', 'TooHardError', 'True_', 'UFUNC_BUFSIZE_DEFAULT', 'UFUNC_PYVALS_NAME', 'VisibleDeprecationWarning', 'WRAP', '_NoValue', '_UFUNC_API', '__NUMPY_SETUP__', '__all__', '__builtins__', '__cached__', '__config__', '__doc__', '__file__', '__git_revision__', '__loader__', '__mkl_version__', '__name__', '__package__', '__path__', '__spec__', '__version__', '_add_newdoc_ufunc', '_distributor_init', '_globals', '_mat', '_pytesttester', 'abs', 'absolute', 'absolute_import', 'add', 'add_docstring', 'add_newdoc', 'add_newdoc_ufunc', 'alen', 'all', 'allclose', 'alltrue', 'amax', 'amin', 'angle', 'any', 'append', 'apply_along_axis', 'apply_over_axes', 'arange', 'arccos', 'arccosh', 'arcsin', 'arcsinh', 'arctan', 'arctan2', 'arctanh', 'argmax', 'argmin', 'argpartition', 'argsort', 'argwhere', 'around', 'array', 'array2string', 'array_equal', 'array_equiv', 'array_repr', 'array_split', 'array_str', 'asanyarray', 'asarray', 'asarray_chkfinite', 'ascontiguousarray', 'asfarray', 'asfortranarray', 'asmatrix', 'asscalar', 'atleast_1d', 'atleast_2d', 'atleast_3d', 'average', 'bartlett', 'base_repr', 'binary_repr', 'bincount', 'bitwise_and', 'bitwise_not', 'bitwise_or', 'bitwise_xor', 'blackman', 'block', 'bmat', 'bool', 'bool8', 'bool_', 'broadcast', 'broadcast_arrays', 'broadcast_to', 'busday_count', 'busday_offset', 'busdaycalendar', 'byte', 'byte_bounds', 'bytes0', 'bytes_', 'c_', 'can_cast', 'cast', 'cbrt', 'cdouble', 'ceil', 'cfloat', 'char', 'character', 'chararray', 'choose', 'clip', 'clongdouble', 'clongfloat', 'column_stack', 'common_type', 'compare_chararrays', 'compat', 'complex', 'complex128', 'complex256', 'complex64', 'complex_', 'complexfloating', 'compress', 'concatenate', 'conj', 'conjugate', 'convolve', 'copy', 'copysign', 'copyto', 'core', 'corrcoef', 'correlate', 'cos', 'cosh', 'count_nonzero', 'cov', 'cross', 'csingle', 'ctypeslib', 'cumprod', 'cumproduct', 'cumsum', 'datetime64', 'datetime_as_string', 'datetime_data', 'deg2rad', 'degrees', 'delete', 'deprecate', 'deprecate_with_doc', 'diag', 'diag_indices', 'diag_indices_from', 'diagflat', 'diagonal', 'diff', 'digitize', 'disp', 'divide', 'division', 'divmod', 'dot', 'double', 'dsplit', 'dstack', 'dtype', 'e', 'ediff1d', 'einsum', 'einsum_path', 'emath', 'empty', 'empty_like', 'equal', 'errstate', 'euler_gamma', 'exp', 'exp2', 'expand_dims', 'expm1', 'extract', 'eye', 'fabs', 'fastCopyAndTranspose', 'fft', 'fill_diagonal', 'find_common_type', 'finfo', 'fix', 'flatiter', 'flatnonzero', 'flexible', 'flip', 'fliplr', 'flipud', 'float', 'float128', 'float16', 'float32', 'float64', 'float_', 'float_power', 'floating', 'floor', 'floor_divide', 'fmax', 'fmin', 'fmod', 'format_float_positional', 'format_float_scientific', 'format_parser', 'frexp', 'frombuffer', 'fromfile', 'fromfunction', 'fromiter', 'frompyfunc', 'fromregex', 'fromstring', 'full', 'full_like', 'fv', 'gcd', 'generic', 'genfromtxt', 'geomspace', 'get_array_wrap', 'get_include', 'get_printoptions', 'getbufsize', 'geterr', 'geterrcall', 'geterrobj', 'gradient', 'greater', 'greater_equal', 'half', 'hamming', 'hanning', 'heaviside', 'histogram', 'histogram2d', 'histogram_bin_edges', 'histogramdd', 'hsplit', 'hstack', 'hypot', 'i0', 'identity', 'iinfo', 'imag', 'in1d', 'index_exp', 'indices', 'inexact', 'inf', 'info', 'infty', 'inner', 'insert', 'int', 'int0', 'int16', 'int32', 'int64', 'int8', 'int_', 'int_asbuffer', 'intc', 'integer', 'interp', 'intersect1d', 'intp', 'invert', 'ipmt', 'irr', 'is_busday', 'isclose', 'iscomplex', 'iscomplexobj', 'isfinite', 'isfortran', 'isin', 'isinf', 'isnan', 'isnat', 'isneginf', 'isposinf', 'isreal', 'isrealobj', 'isscalar', 'issctype', 'issubclass_', 'issubdtype', 'issubsctype', 'iterable', 'ix_', 'kaiser', 'kron', 'lcm', 'ldexp', 'left_shift', 'less', 'less_equal', 'lexsort', 'lib', 'linalg', 'linspace', 'little_endian', 'load', 'loads', 'loadtxt', 'log', 'log10', 'log1p', 'log2', 'logaddexp', 'logaddexp2', 'logical_and', 'logical_not', 'logical_or', 'logical_xor', 'logspace', 'long', 'longcomplex', 'longdouble', 'longfloat', 'longlong', 'lookfor', 'ma', 'mafromtxt', 'mask_indices', 'mat', 'math', 'matmul', 'matrix', 'matrixlib', 'max', 'maximum', 'maximum_sctype', 'may_share_memory', 'mean', 'median', 'memmap', 'meshgrid', 'mgrid', 'min', 'min_scalar_type', 'minimum', 'mintypecode', 'mirr', 'mkl', 'mod', 'modf', 'moveaxis', 'msort', 'multiply', 'nan', 'nan_to_num', 'nanargmax', 'nanargmin', 'nancumprod', 'nancumsum', 'nanmax', 'nanmean', 'nanmedian', 'nanmin', 'nanpercentile', 'nanprod', 'nanquantile', 'nanstd', 'nansum', 'nanvar', 'nbytes', 'ndarray', 'ndenumerate', 'ndfromtxt', 'ndim', 'ndindex', 'nditer', 'negative', 'nested_iters', 'newaxis', 'nextafter', 'nonzero', 'not_equal', 'nper', 'npv', 'numarray', 'number', 'obj2sctype', 'object', 'object0', 'object_', 'ogrid', 'oldnumeric', 'ones', 'ones_like', 'os', 'outer', 'packbits', 'pad', 'partition', 'percentile', 'pi', 'piecewise', 'place', 'pmt', 'poly', 'poly1d', 'polyadd', 'polyder', 'polydiv', 'polyfit', 'polyint', 'polymul', 'polynomial', 'polysub', 'polyval', 'positive', 'power', 'ppmt', 'print_function', 'printoptions', 'prod', 'product', 'promote_types', 'ptp', 'put', 'put_along_axis', 'putmask', 'pv', 'quantile', 'r_', 'rad2deg', 'radians', 'random', 'rank', 'rate', 'ravel', 'ravel_multi_index', 'real', 'real_if_close', 'rec', 'recarray', 'recfromcsv', 'recfromtxt', 'reciprocal', 'record', 'remainder', 'repeat', 'require', 'reshape', 'resize', 'result_type', 'right_shift', 'rint', 'roll', 'rollaxis', 'roots', 'rot90', 'round', 'round_', 'row_stack', 's_', 'safe_eval', 'save', 'savetxt', 'savez', 'savez_compressed', 'sctype2char', 'sctypeDict', 'sctypeNA', 'sctypes', 'searchsorted', 'select', 'set_numeric_ops', 'set_printoptions', 'set_string_function', 'setbufsize', 'setdiff1d', 'seterr', 'seterrcall', 'seterrobj', 'setxor1d', 'shape', 'shares_memory', 'short', 'show_config', 'sign', 'signbit', 'signedinteger', 'sin', 'sinc', 'single', 'singlecomplex', 'sinh', 'size', 'sometrue', 'sort', 'sort_complex', 'source', 'spacing', 'split', 'sqrt', 'square', 'squeeze', 'stack', 'std', 'str', 'str0', 'str_', 'string_', 'subtract', 'sum', 'swapaxes', 'sys', 'take', 'take_along_axis', 'tan', 'tanh', 'tensordot', 'test', 'testing', 'tile', 'timedelta64', 'trace', 'tracemalloc_domain', 'transpose', 'trapz', 'tri', 'tril', 'tril_indices', 'tril_indices_from', 'trim_zeros', 'triu', 'triu_indices', 'triu_indices_from', 'true_divide', 'trunc', 'typeDict', 'typeNA', 'typecodes', 'typename', 'ubyte', 'ufunc', 'uint', 'uint0', 'uint16', 'uint32', 'uint64', 'uint8', 'uintc', 'uintp', 'ulonglong', 'unicode', 'unicode_', 'union1d', 'unique', 'unpackbits', 'unravel_index', 'unsignedinteger', 'unwrap', 'ushort', 'vander', 'var', 'vdot', 'vectorize', 'version', 'void', 'void0', 'vsplit', 'vstack', 'warnings', 'where', 'who', 'zeros', 'zeros_like']\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "list_numpy_names = dir(np)\n", @@ -91,27 +76,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.010170Z", - "iopub.status.busy": "2021-09-23T10:11:34.009127Z", - "iopub.status.idle": "2021-09-23T10:11:34.011953Z", - "shell.execute_reply": "2021-09-23T10:11:34.012741Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = [1 2 3 3]\n", - "Shape: (4,)\n", - "Type: int64\n", - "Dimension: 1\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "\n", @@ -131,29 +98,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.018881Z", - "iopub.status.busy": "2021-09-23T10:11:34.018097Z", - "iopub.status.idle": "2021-09-23T10:11:34.021690Z", - "shell.execute_reply": "2021-09-23T10:11:34.020918Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = \n", - "[[ 1 2 33]\n", - " [44 5 6]]\n", - "Shape: (2, 3)\n", - "Type: int64\n", - "Dimension: 2\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x = np.array([[1, 2, 33], [44, 5, 6]])\n", "print('x = ', x, sep='\\n')\n", @@ -171,36 +118,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.032328Z", - "iopub.status.busy": "2021-09-23T10:11:34.030376Z", - "iopub.status.idle": "2021-09-23T10:11:34.035140Z", - "shell.execute_reply": "2021-09-23T10:11:34.035874Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Array of given shape and type, filled with zeros: [0. 0.]\n", - "Array of given shape and type, filled with integer zeros: [0 0]\n", - "Array of given shape and type, filled with ones: \n", - "[[1. 1. 1.]\n", - " [1. 1. 1.]]\n", - "Evenly spaced values within a given interval: [2 4 6]\n", - "Random values in a given shape: \n", - "[[0.83438381 0.76954593 0.64923116]\n", - " [0.67928396 0.89735793 0.66771412]]\n", - "Identity matrix: \n", - "[[1. 0. 0.]\n", - " [0. 1. 0.]\n", - " [0. 0. 1.]]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "print('Array of given shape and type, filled with zeros: ', np.zeros(2))\n", "print('Array of given shape and type, filled with integer zeros: ', np.zeros(2, dtype='int'))\n", @@ -222,41 +142,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.045560Z", - "iopub.status.busy": "2021-09-23T10:11:34.044159Z", - "iopub.status.idle": "2021-09-23T10:11:34.048131Z", - "shell.execute_reply": "2021-09-23T10:11:34.048861Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = [ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23]\n", - "Shape: (24,)\n", - "y = \n", - "[[ 0 1 2 3 4 5 6 7]\n", - " [ 8 9 10 11 12 13 14 15]\n", - " [16 17 18 19 20 21 22 23]]\n", - "Shape: (3, 8)\n", - "z = \n", - "[[[ 0 1 2 3]\n", - " [ 4 5 6 7]]\n", - "\n", - " [[ 8 9 10 11]\n", - " [12 13 14 15]]\n", - "\n", - " [[16 17 18 19]\n", - " [20 21 22 23]]]\n", - "Shape: (3, 2, 4)\n", - "Element z[0, 1, 2] = 6\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x = np.arange(2 * 3 * 4)\n", "print('x =', x)\n", @@ -282,26 +170,9 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.055965Z", - "iopub.status.busy": "2021-09-23T10:11:34.055036Z", - "iopub.status.idle": "2021-09-23T10:11:34.057928Z", - "shell.execute_reply": "2021-09-23T10:11:34.058654Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Shape: (6,); dim: 1\n", - "Shape: (3, 2); dim: 2\n", - "Shape: (6, 1); dim: 2\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x = np.arange(6)\n", "print(f'Shape: {x.shape}; dim: {x.ndim}')\n", @@ -323,31 +194,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.068064Z", - "iopub.status.busy": "2021-09-23T10:11:34.067247Z", - "iopub.status.idle": "2021-09-23T10:11:34.069803Z", - "shell.execute_reply": "2021-09-23T10:11:34.070810Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = [0 1 2 3 4]\n", - "x + 1 = [1 2 3 4 5]\n", - "x * 2 = [0 2 4 6 8]\n", - "x * x = [ 0 1 4 9 16]\n", - "x ** 3 = [ 0 1 8 27 64]\n", - "x / 4 = [0. 0.25 0.5 0.75 1. ]\n", - "x // 4 = [0 0 0 0 1]\n", - "x > 2 = [False False False True True]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x = np.arange(5)\n", "print('x = ', x)\n", @@ -369,38 +218,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.079381Z", - "iopub.status.busy": "2021-09-23T10:11:34.078612Z", - "iopub.status.idle": "2021-09-23T10:11:34.088354Z", - "shell.execute_reply": "2021-09-23T10:11:34.089077Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "a = \n", - "[[0 1]\n", - " [2 3]]\n", - "b = \n", - "[[2. 2.]\n", - " [2. 2.]]\n", - "a + b = \n", - "[[2. 3.]\n", - " [4. 5.]]\n", - "a * b (element-wise multiplication) = \n", - "[[0. 2.]\n", - " [4. 6.]]\n", - "np.dot(a, b) (matrix multiplication) = \n", - "[[ 2. 2.]\n", - " [10. 10.]]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "a = np.arange(0, 4).reshape((2, 2))\n", "b = 2 * np.ones((2, 2))\n", @@ -420,25 +240,9 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.095037Z", - "iopub.status.busy": "2021-09-23T10:11:34.094360Z", - "iopub.status.idle": "2021-09-23T10:11:34.097920Z", - "shell.execute_reply": "2021-09-23T10:11:34.097164Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0 2 4 6] \n", - "[0, 1, 2, 3, 0, 1, 2, 3] \n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "a = np.arange(4)\n", "b = np.arange(4)\n", @@ -458,29 +262,9 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.105578Z", - "iopub.status.busy": "2021-09-23T10:11:34.104827Z", - "iopub.status.idle": "2021-09-23T10:11:34.107443Z", - "shell.execute_reply": "2021-09-23T10:11:34.108246Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = \n", - "[[0 1 2]\n", - " [3 4 5]]\n", - "Total sum: 15\n", - "Column sum: [3 5 7]\n", - "Row sum: [ 3 12]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x = np.arange(6).reshape((2, 3))\n", "print('x = ', x, sep='\\n')\n", @@ -498,33 +282,9 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.115406Z", - "iopub.status.busy": "2021-09-23T10:11:34.114640Z", - "iopub.status.idle": "2021-09-23T10:11:34.117290Z", - "shell.execute_reply": "2021-09-23T10:11:34.117950Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = \n", - "[[0 1 2]\n", - " [3 4 5]]\n", - "Element in second column of second row: 4\n", - "Boolean encoding of element positions with values larger than 1: \n", - "[[False False True]\n", - " [ True True True]]\n", - "All elements larger than 1: [2 3 4 5]\n", - "Second row: [3 4 5]\n", - "Second column: [1 4]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "x = np.arange(6).reshape((2, 3))\n", "print('x = ', x, sep='\\n')\n", @@ -547,28 +307,9 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.128458Z", - "iopub.status.busy": "2021-09-23T10:11:34.127606Z", - "iopub.status.idle": "2021-09-23T10:11:34.131044Z", - "shell.execute_reply": "2021-09-23T10:11:34.131739Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "a = [-1 2 3]; dtype: int64\n", - "b = [-1. 2. 3.]; dtype: float64\n", - "c = [-1 2 3]; dtype: int64\n", - "d = [255 2 3]; dtype: uint8\n", - "e = [1.+0.j 2.+0.j 3.+0.j]; dtype: complex64\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "a = np.array([-1,2,3])\n", "print(f'a = {a}; dtype: {a.dtype}')\n", @@ -591,38 +332,9 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.138409Z", - "iopub.status.busy": "2021-09-23T10:11:34.137199Z", - "iopub.status.idle": "2021-09-23T10:11:34.147516Z", - "shell.execute_reply": "2021-09-23T10:11:34.148346Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "=== Initialization with 'int32' leading to an error ===\n", - "[-2 -1 0 1] int64\n", - "[nan nan 0. 1.]\n", - "=== Initialization with 'complex' ===\n", - "[-3.+0.j -2.+0.j -1.+0.j 0.+0.j 1.+0.j 2.+0.j] complex128\n", - "[0. +1.73205081j 0. +1.41421356j 0. +1.j\n", - " 0. +0.j 1. +0.j 1.41421356+0.j ]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages/ipykernel_launcher.py:4: RuntimeWarning: invalid value encountered in sqrt\n", - " after removing the cwd from sys.path.\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "print('=== Initialization with \\'int32\\' leading to an error ===', flush=True)\n", "x = np.arange(-2, 2)\n", @@ -649,28 +361,9 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.155497Z", - "iopub.status.busy": "2021-09-23T10:11:34.154475Z", - "iopub.status.idle": "2021-09-23T10:11:34.157624Z", - "shell.execute_reply": "2021-09-23T10:11:34.158437Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Archimedes constant Pi: 3.141592653589793; type: \n", - "Euler’s constant, base of natural logarithms: 2.718281828459045; type: \n", - "Floating point representation of (positive) infinity: inf; type: \n", - "Floating point representation of (negative) infinity: -inf; type: \n", - "floating point representation of Not a Number (NaN): nan; type: \n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "print(f'Archimedes constant Pi: {np.pi}; type: {type(np.pi)}')\n", "print(f'Euler’s constant, base of natural logarithms: {np.e}; type: {type(np.e)}')\n", @@ -688,33 +381,9 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.168793Z", - "iopub.status.busy": "2021-09-23T10:11:34.167814Z", - "iopub.status.idle": "2021-09-23T10:11:34.171905Z", - "shell.execute_reply": "2021-09-23T10:11:34.172969Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "a = 10, b = inf, c = -inf, d = nan\n", - "a + b = inf\n", - "a * b = inf\n", - "a + c = -inf\n", - "a - c = inf\n", - "a + d = nan\n", - "b + c = nan\n", - "b * c = -inf\n", - "b / c = nan\n", - "b + d = nan\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "a = 10\n", "b = np.inf\n", @@ -742,28 +411,9 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.187221Z", - "iopub.status.busy": "2021-09-23T10:11:34.185927Z", - "iopub.status.idle": "2021-09-23T10:11:34.190120Z", - "shell.execute_reply": "2021-09-23T10:11:34.191036Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Test element-wise for positive or negative infinity: [ True True False]\n", - "a = [-2 -1 0 1 2]\n", - "b = a / 0 = [-inf -inf nan inf inf]\n", - "Indices with inf values: [ True True False True True] (array([0, 1, 3, 4]),)\n", - "Indices with nan values: [False False True False False] (array([2]),)\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "print('Test element-wise for positive or negative infinity:', np.isinf([np.inf, np.NINF, np.nan]))\n", "\n", @@ -791,15 +441,8 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.197708Z", - "iopub.status.busy": "2021-09-23T10:11:34.196367Z", - "iopub.status.idle": "2021-09-23T10:11:34.206379Z", - "shell.execute_reply": "2021-09-23T10:11:34.207281Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.numpy\n", @@ -825,15 +468,8 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.213177Z", - "iopub.status.busy": "2021-09-23T10:11:34.211934Z", - "iopub.status.idle": "2021-09-23T10:11:34.215362Z", - "shell.execute_reply": "2021-09-23T10:11:34.216220Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -843,32 +479,9 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.227004Z", - "iopub.status.busy": "2021-09-23T10:11:34.222009Z", - "iopub.status.idle": "2021-09-23T10:11:34.231398Z", - "shell.execute_reply": "2021-09-23T10:11:34.231956Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[10 11 12 13 14 15 16 17 18 19 20]\n", - "[ 0 0 0 0 14 15 16 0 0 0 0]\n", - "[ 0 0 0 0 14 15 16 0 0 0 0 4 5 6]\n", - "[ 0 4 5 6 14 15 16]\n", - "[16 15 14 6 5 4 0] Type: \n", - "[16 15 14 6 5 4 0] Type: \n", - "[16 15 14 6 5 4 0] Type: \n", - " Type: \n", - " Type: \n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.numpy.exercise_numpy_array(show_result=show_result)" ] @@ -907,15 +520,8 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.236439Z", - "iopub.status.busy": "2021-09-23T10:11:34.235616Z", - "iopub.status.idle": "2021-09-23T10:11:34.238479Z", - "shell.execute_reply": "2021-09-23T10:11:34.239261Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -925,40 +531,9 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.250406Z", - "iopub.status.busy": "2021-09-23T10:11:34.249086Z", - "iopub.status.idle": "2021-09-23T10:11:34.256133Z", - "shell.execute_reply": "2021-09-23T10:11:34.257218Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Matrix B: \n", - "[[2. 2. 2. 2.]\n", - " [2. 2. 2. 2.]\n", - " [0. 0. 0. 0.]]\n", - "Shape of matrix B: (3, 4)\n", - "Maximum of matrix D: 10\n", - "Row and column index of maximum entry: (1, 2)\n", - "vw = 32\n", - "wv = \n", - "[[18 12 6]\n", - " [15 10 5]\n", - " [12 8 4]]\n", - "Inverse(A) = \n", - "[[-5. 2.]\n", - " [ 3. -1.]]\n", - "Inverse(A)v = \n", - "[ 3. -1.]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.numpy.exercise_matrix_operation(show_result=show_result)" ] @@ -982,15 +557,8 @@ }, { "cell_type": "code", - "execution_count": 22, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.261880Z", - "iopub.status.busy": "2021-09-23T10:11:34.261148Z", - "iopub.status.idle": "2021-09-23T10:11:34.264942Z", - "shell.execute_reply": "2021-09-23T10:11:34.265713Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -1000,46 +568,9 @@ }, { "cell_type": "code", - "execution_count": 23, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:34.271856Z", - "iopub.status.busy": "2021-09-23T10:11:34.270768Z", - "iopub.status.idle": "2021-09-23T10:11:34.275627Z", - "shell.execute_reply": "2021-09-23T10:11:34.276740Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - " ==== Cos and sin function ====\n", - "deg: [ 0 30 45 60 90 180]\n", - "rad: [ 0.0000 0.5236 0.7854 1.0472 1.5708 3.1416]\n", - "cos: [ 1.0000 0.8660 0.7071 0.5000 0.0000 -1.0000]\n", - "sin: [ 0.0000 0.5000 0.7071 0.8660 1.0000 0.0000]\n", - "\n", - " ==== Exponential function ====\n", - "exp: [ 1.00000000e+00+0.00000000e+00j 8.66025404e-01+5.00000000e-01j\n", - " 7.07106781e-01+7.07106781e-01j 5.00000000e-01+8.66025404e-01j\n", - " 6.12323400e-17+1.00000000e+00j -1.00000000e+00+1.22464680e-16j]\n", - "exp_real: [ 1.0000 0.8660 0.7071 0.5000 0.0000 -1.0000]\n", - "exp_imag: [ 0.0000 0.5000 0.7071 0.8660 1.0000 0.0000]\n", - "cos == exp_real: [ True True True True True True]\n", - "sin == exp_imag: [ True True True True True True]\n", - "\n", - " ==== Rounding options ====\n", - "Original numbers: [-3.1416 -1.5708 0.0000 1.5708 3.1416]\n", - "Round to integer: [-3.0000 -2.0000 0.0000 2.0000 3.0000]\n", - "Round to three decimals: [-3.1420 -1.5710 0.0000 1.5710 3.1420]\n", - "Return floor of numbers: [-4.0000 -2.0000 0.0000 1.0000 3.0000]\n", - "Return ceil of numbers: [-3.0000 -1.0000 0.0000 2.0000 4.0000]\n", - "Return truncated numbers: [-3.0000 -1.0000 0.0000 1.0000 3.0000]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.numpy.exercise_numpy_math_function(show_result=show_result)" ] @@ -1071,7 +602,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/PCP_04_control.html b/PCP_04_control.html index 058fc81..b1afb5b 100644 --- a/PCP_04_control.html +++ b/PCP_04_control.html @@ -1,16 +1,90 @@ - - - -PCP_04_control - - - - - + + + +PCP_04_control + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
    -
    - +
    +
    +
    -PCP Teaser +PCP Teaser
    @@ -13091,16 +13097,16 @@
    -

    Unit 4: Basic Control Structures and Functions

    @@ -13108,12 +13114,10 @@

    Unit 4: Basic Control St
    -

    +

    Overview and Learning Objectives

    - -This unit briefly introduces basic Python control structures (including `if`, `for`, and `while`), which are similar to most other programming languages. Then, we look at how to create a function in Python using the keyword `def`. In particular, we discuss the difference between default and non-default arguments. Also, we give some guidelines on how to document a function using a suitable docstring. Finally, we show how one can measure the runtime for executing a function or small code snippets using the Python module `timeit`. In the first three exercises of this unit, you will implement some simple functions (which can be done in many ways) to familiarize yourself with the Python syntax. In Exercise 4, we consider the mathematical problem of whether a natural number is a prime number. After implementing a simple Python function that solves this task, you should look for more efficient algorithms for primality testing. Going beyond the task specification, you may implement different algorithms and compare their runtime behavior and execution time for increasing numbers. Finally, in Exercise 5, you find an accurate description of an algorithm for finding a root of a continuous function (i.e., an argument where the function assumes the value zero). While being a good exercise for implementing a mathematical procedure in executable Python code, this exercise also reviews some mathematical terms (e.g., interval, root, prime) that we think you should be familiar with. Furthermore, we want to make you aware that the notion of a function may appear in different contexts, e.g., once referring to a Python function and once to a mathematical function $f$ (which itself may serve as an argument to a Python function). - +

    This unit briefly introduces basic Python control structures (including if, for, and while), which are similar to most other programming languages. Then, we look at how to create a function in Python using the keyword def. In particular, we discuss the difference between default and non-default arguments. Also, we give some guidelines on how to document a function using a suitable docstring. Finally, we show how one can measure the runtime for executing a function or small code snippets using the Python module timeit. In the first three exercises of this unit, you will implement some simple functions (which can be done in many ways) to familiarize yourself with the Python syntax. In Exercise 4, we consider the mathematical problem of whether a natural number is a prime number. After implementing a simple Python function that solves this task, you should look for more efficient algorithms for primality testing. Going beyond the task specification, you may implement different algorithms and compare their runtime behavior and execution time for increasing numbers. Finally, in Exercise 5, you find an accurate description of an algorithm for finding a root of a continuous function (i.e., an argument where the function assumes the value zero). While being a good exercise for implementing a mathematical procedure in executable Python code, this exercise also reviews some mathematical terms (e.g., interval, root, prime) that we think you should be familiar with. Furthermore, we want to make you aware that the notion of a function may appear in different contexts, e.g., once referring to a Python function and once to a mathematical function $f$ (which itself may serve as an argument to a Python function).

    @@ -13121,95 +13125,78 @@

    Overview and Learning Objectives

    -

    -

    Basic Control Structures

    In Python, there are basic control structures similar to most other programming languages. The most important control structures are:

    +

    +

    Basic Control Structures

    In Python, there are basic control structures similar to most other programming languages. The most important control structures are:

    • if: conditionally execute statements
    • for: repeat statements a specific number of times
    • while: repeat statements an indefinite number of times
    • break: terminate execution of a while or for loop
    • continue: continue execution of a while or for loop at top -

    For control structures such as if, for or while, one has to use indentations (as part of the syntax). A typical Python convention is to use four spaces (or a tab indent). In the following, we give examples for each of these control structures. Let us start with an if-statement, which is written as follows:

    - + +

    For control structures such as if, for or while, one has to use indentations (as part of the syntax). A typical Python convention is to use four spaces (or a tab indent). In the following, we give examples for each of these control structures. Let us start with an if-statement, which is written as follows:

    -
    In [1]:
    +
    In [1]:
    -
    -
    n = -2
+
    
+
    n = -2
 if n < 0:
-    print('Negative')
+    print('Negative')
 elif n > 0:
-    print('Positive')    
+    print('Positive')    
 else:
-    print('Zero')
+    print('Zero')
 
    
-
-
    - +
    - -
    - -
    - - +
    Negative
    -
    -

    The next example shows how to use a for-loop. Note that an iterable may be specified by a range, a list, a tuple, or even other structures.

    -
    -
    In [2]:
    +
    In [2]:
    -
    -
    for i in range(3):
-    print(i, end='-')
+
    
+
    for i in range(3):
+    print(i, end='-')
 print()
     
-for i in ['a', 2, 'c', 'def']:
-    print(i, end='-')
+for i in ['a', 2, 'c', 'def']:
+    print(i, end='-')
 print()
 
-for i in 'example':
-    print(i, end='-')
+for i in 'example':
+    print(i, end='-')
 print()
 
    
-
-
    - +
    - -
    - -
    - - +
    0-1-2-
 a-2-c-def-
@@ -13217,156 +13204,123 @@ 
    Basic Control Structures
    -
    -

    A while-loop is written as follows:

    -
    -
    In [3]:
    +
    In [3]:
    -
    -
    a = 0
+
    
+
    a = 0
 while a < 5:
-    print(a, end='-')
+    print(a, end='-')
     a += 1
 
    
-
-
    - +
    - -
    - -
    - - +
    0-1-2-3-4-
    -
    -

    The break-statement is used to terminate the loop containing it. This is demonstrated by the following example, which consists of two nested loops each containing a break-statement.

    -
    -
    In [4]:
    +
    In [4]:
    -
    -
    for k in 'abcd':
-    if k == 'c':
+
    
+
    for k in 'abcd':
+    if k == 'c':
         break
-    for i in '12345':
-        if i == '4':
+    for i in '12345':
+        if i == '4':
             break
-        print(k + i, end='-')
+        print(k + i, end='-')
 
    
-
-
    - +
    - -
    - -
    - - +
    a1-a2-a3-b1-b2-b3-
    -
    -

    The continue-statement is used to terminate only the current step of the loop. The loop then continues with the next iteration.

    -
    -
    In [5]:
    +
    In [5]:
    -
    -
    for k in 'abcd':
-    if k == 'c':
+
    
+
    for k in 'abcd':
+    if k == 'c':
         continue
-    for i in '12345':
-        if i == '4':
+    for i in '12345':
+        if i == '4':
             continue
-        print(k + i, end='-')
+        print(k + i, end='-')
 
    
-
-
    - +
    - -
    - -
    - - +
    a1-a2-a3-a5-b1-b2-b3-b5-d1-d2-d3-d5-
    -
    -
    -

    -

    Python Functions

    One defines functions with the def-keyword. As variable names, function names may contain letters (a, b, ..., Y, Z) and the underscore (_). All but the first character can also be positive integer number. Usually one uses lower case letters and underscores to separate words. The following function is named add. It has three arguments a, b, and c (with b and c having a default value). The return keyword is succeeded by the return value.

    - +

    +

    Python Functions

    One defines functions with the def-keyword. As variable names, function names may contain letters (a, b, ..., Y, Z) and the underscore (_). All but the first character can also be positive integer number. Usually one uses lower case letters and underscores to separate words. The following function is named add. It has three arguments a, b, and c (with b and c having a default value). The return keyword is succeeded by the return value.

    -
    In [6]:
    +
    In [6]:
    -
    -
    def add(a, b=0, c=0):
-    """Function to add three numbers
+
    
+
    def add(a, b=0, c=0):
+    """Function to add three numbers
 
     Notebook: PCP_04_control.ipynb
 
@@ -13377,28 +13331,21 @@ 
    Python Functions    Returns:
         Sum of a, b and c
-    """
-    print('Addition: ', a, ' + ', b, ' + ', c)
+    """
+    print('Addition: ', a, ' + ', b, ' + ', c)
     return a + b + c
 
 print(add(5))
 print(add(5, 2, 1))
 print(add(5, c=4))
 
    
-
-
    - +
    - -
    - -
    - - +
    Addition:  5  +  0  +  0
 5
@@ -13409,10 +13356,8 @@ 
    Python Functions
    
 
    
@@ -13422,20 +13367,19 @@ 
    Python Functions
 
    
-
    In [7]:
    
+
    In [7]:
    
 
    
-    
    
-
    def add_and_diff(a, b=0):
-    """Function to add and subtract two numbers
+
    
+
    def add_and_diff(a, b=0):
+    """Function to add and subtract two numbers
 
     Notebook: PCP_04_control.ipynb
 
@@ -13446,71 +13390,54 @@ 
    Python Functions    Returns:
         first: a + b
         second: a - b
-    """
+    """
     return a + b, a - b
 
 x = add_and_diff(3, 5)
-print('result:', x, type(x))
+print('result:', x, type(x))
 x, y = add_and_diff(3, 5)
-print('result:', x, y, type(x), type(y))
+print('result:', x, y, type(x), type(y))
 x, y = add_and_diff(3.0, 5)
-print('result:', x, y, type(x), type(y))
+print('result:', x, y, type(x), type(y))
 
    
-
-    
    
 
    
 
    
-
+
    
 
    
 
    
-
-
 
    
-
-    
    
-
-
+
    
 
    
-
    result: (8, -2) <class 'tuple'>
-result: 8 -2 <class 'int'> <class 'int'>
-result: 8.0 -2.0 <class 'float'> <class 'float'>
+
    result: (8, -2) <class 'tuple'>
+result: 8 -2 <class 'int'> <class 'int'>
+result: 8.0 -2.0 <class 'float'> <class 'float'>
 
    
 
    
 
    
-
 
    
 
    
-
 
    
 
    
 
    
 
    
 
    It is important to document a function. In particular, one should always describe the purpose of a function as well as its input and output. This is exactly what a docstring is used for. As described in the Python Docstring Conventions, a docstring is a string literal that occurs as the first statement in the function. For consistency, it is advised to use  """triple double quotes""" around docstrings. Using the help() function, the content of the docstring is shown. This is a useful feature when building your own libraries with many functions. In the following code cell, we show the docstring of the function add defined above.
    
-
 
    
 
    
 
    
 
    
 
    
-
    In [8]:
    
+
    In [8]:
    
 
    
-    
    
-
    help(add)
+
    
+
    help(add)
 
    
-
-    
    
 
    
 
    
-
+
    
 
    
 
    
-
-
 
    
-
-    
    
-
-
+
    
 
    
 
    Help on function add in module __main__:
 
@@ -13530,27 +13457,24 @@ 
    Python Functions
    
 
    
 
    
-
    
-
    Efficiency and Runtime
    In the following example, we consider the task of computing the sum $\sum_{i=1}^n i$ for a given integer $n\in\mathbb{N}$. We first implement a naive function sum_n that uses a simple for-loop. We then execute the function sum_n in a while-loop for increasing $n=1,2,3,...$ and output the result until the sum exceeds $100$.</li>
    
-
+
    
+
    Efficiency and Runtime
    In the following example, we consider the task of computing the sum $\sum_{i=1}^n i$ for a given integer $n\in\mathbb{N}$. We first implement a naive function sum_n that uses a simple for-loop. We then execute the function sum_n in a while-loop for increasing $n=1,2,3,...$ and output the result until the sum exceeds $100$.
    
 
    
 
    
 
    
 
    
 
    
-
    In [9]:
    
+
    In [9]:
    
 
    
-    
    
-
    def sum_n(n):
-    """Function that sums up the integers from 1 to n
+
    
+
    def sum_n(n):
+    """Function that sums up the integers from 1 to n
 
     Notebook: PCP_04_control.ipynb
 
@@ -13559,7 +13483,7 @@ 
    Efficiency and Runtime    Returns:
         s: Sum of integers from 1 to n
-    """
+    """
     s = 0
     for n in range(1, n+1):
         s = s + n
@@ -13567,23 +13491,16 @@ 
    Efficiency and Runtimen = 1
 while sum_n(n) <= 100:
-    print(f'n= {n}, s={sum_n(n)}')
+    print(f'n= {n}, s={sum_n(n)}')
     n += 1
 
    
-
-    
    
 
    
 
    
-
+
    
 
    
 
    
-
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    n= 1, s=1
 n= 2, s=3
@@ -13601,28 +13518,25 @@ 
    Efficiency and Runtime
 
    
 
    
-
 
    
 
    
-
 
    
 
    
 
    
 
    
 
    Rather than using a for-loop, one may think more efficient functions to compute this sum. In the following code cell, we consider the function sum_n_numpy that is based on the efficient NumPy-function np.sum. Furthermore, we consider the function sum_n_math which uses a closed mathematical formula for calculating the sum. We then measure and compare the execution time for the three different implementations. To this end, we use the Python module timeit, which provides a simple way to measure the execution time of small bits of Python code. As an alternative, one may also use the function time.time() of the module time.
    
-
 
    
 
    
 
    
 
    
 
    
-
    In [10]:
    
+
    In [10]:
    
 
    
-    
    
-
    import numpy as np
+
    
+
    import numpy as np
 
 def sum_n_numpy(n):
-    """Function that sums up the integers from 1 to n  using numpy
+    """Function that sums up the integers from 1 to n  using numpy
 
     Notebook: PCP_04_control.ipynb
 
@@ -13631,12 +13545,12 @@ 
    Efficiency and Runtime    Returns:
         s: Sum of integers from 1 to n
-    """
+    """
     s = np.sum(np.arange(1, n+1))
     return s    
 
 def sum_n_math(n):
-    """Function that sums up the integers from 1 to n using the idea by Gauss
+    """Function that sums up the integers from 1 to n using the idea by Gauss
 
     Notebook: PCP_04_control.ipynb
 
@@ -13645,56 +13559,47 @@ 
    Efficiency and Runtime    Returns:
         s: Sum of integers from 1 to n
-    """
+    """
     s = n * (n + 1) // 2
     return s   
 
 n = 1000
-print(f'Computation with sum_n:       n={n}, s={sum_n(n)}')
-print(f'Computation with sum_n_numpy: n={n}, s={sum_n_numpy(n)}')
-print(f'Computation with sum_n_math:  n={n}, s={sum_n_math(n)}')
+print(f'Computation with sum_n:       n={n}, s={sum_n(n)}')
+print(f'Computation with sum_n_numpy: n={n}, s={sum_n_numpy(n)}')
+print(f'Computation with sum_n_math:  n={n}, s={sum_n_math(n)}')
 
 # Measuring runtime of different implementations 
 import timeit
 executions = 100
 n = 10000
 runtime_av = timeit.timeit(lambda: sum_n(n), number=executions) / executions
-print(f'Runtime for sum_n: {runtime_av * 1000:.6f} ms')
+print(f'Runtime for sum_n: {runtime_av * 1000:.6f} ms')
 
 runtime_av = timeit.timeit(lambda: sum_n_numpy(n), number=executions) / executions
-print(f'Runtime for sum_n_numpy: {runtime_av * 1000:.6f} ms')
+print(f'Runtime for sum_n_numpy: {runtime_av * 1000:.6f} ms')
 
 runtime_av = timeit.timeit(lambda: sum_n_math(n), number=executions) / executions
-print(f'Runtime for sum_n_math: {runtime_av * 1000:.6f} ms')
+print(f'Runtime for sum_n_math: {runtime_av * 1000:.6f} ms')
 
    
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    Computation with sum_n:       n=1000, s=500500
 Computation with sum_n_numpy: n=1000, s=500500
 Computation with sum_n_math:  n=1000, s=500500
-Runtime for sum_n: 0.576335 ms
-Runtime for sum_n_numpy: 0.027800 ms
-Runtime for sum_n_math: 0.000309 ms
+Runtime for sum_n: 0.385383 ms
+Runtime for sum_n_numpy: 0.008619 ms
+Runtime for sum_n_math: 0.000155 ms
 
    
 
    
 
    
-
 
    
 
    
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@@ -13708,30 +13613,28 @@ 
    Efficiency and Runtime
    
 
    
 
    
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    Exercises and Results
    
+
    Exercises and Results
    
 
    
 
    
 
    
 
    
 
    
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    In [11]:
    
+
    In [11]:
    
 
    
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    import libpcp.control
+
    
+
    import libpcp.control
 show_result = True
 
    
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-Exercise 1: Function give_me_a_number
    
+Exercise 1: Function give_me_a_number
    
 Write a function give_me_a_number that has a string variable s as input argument. When s is the string 'large', the function should return the value $2^{100}$. If s is 'small', it should return $2^{-100}$. If s is 'random', it should return a random number in the range $[0,1)$ (using np.random.rand). In all other cases, the function should return np.nan. As default, set the input argument to the string 'nan'.
 
    
 
    
@@ -13739,101 +13642,81 @@ 
    Exercises and Results
 
    
 
    
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 # Your Solution
 #</solution>
 
    
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+
    
+
    libpcp.control.exercise_give_number(show_result=show_result)
 
    
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    default:    nan
-s='large':  1267650600228229401496703205376
-s='small':  7.888609052210118e-31
-s='random': 0.0963201685180527
-s='test':   nan
+s='large':  1267650600228229401496703205376
+s='small':  7.888609052210118e-31
+s='random': 0.42955001078442256
+s='test':   nan
 
    
 
    
 
    
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+
    
 
    
-Exercise 2: Function for Computing Row Mean
    
-Write a function row_mean that inputs a matrix and outputs a vector containing the row-wise means (averages) of the input matrix. Apply the function to the matrix matrix $\mathbf{A} = \begin{bmatrix}1 & 2 & 6 \\5 & 5 & 2\\\end{bmatrix}$.
+Exercise 2: Function for Computing Row Mean
    
+Write a function row_mean that inputs a matrix and outputs a vector containing the row-wise means (averages) of the input matrix. Apply the function to the matrix matrix $\mathbf{A} = \begin{bmatrix}1 & 2 & 6 \\5 & 5 & 2\\\end{bmatrix}$.
 
    
 
    
 
    
 
    
 
    
 
    
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+
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 # Your Solution
 #</solution>
 
    
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+
    
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    Input matrix:
 [[1 2 6]
@@ -13842,18 +13725,16 @@ 
    Exercises and Results
 
    
 
    
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-Exercise 3: Function for Computing Odd-Index Vector
    
-Given a vector x (in form of a one-dimensional NumPy array), write a function vector_odd_index that outputs a vector y consisting only of the elements of x at an odd index position. If the input NumPy array x is not a vector, the function vector_odd_index should output y=None. 
    
+Exercise 3: Function for Computing Odd-Index Vector
    
+Given a vector x (in form of a one-dimensional NumPy array), write a function vector_odd_index that outputs a vector y consisting only of the elements of x at an odd index position. If the input NumPy array x is not a vector, the function vector_odd_index should output y=None. 
    
 Note: Recall that Python indexing starts with index 0 (which is an even index).
 
    
 
    
@@ -13861,40 +13742,31 @@ 
    Exercises and Results
 
    
 
    
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 #</solution>
 
    
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+
    
+
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    x = [0 1 2 3 4 5 6 7 8 9]
 y = [1 3 5 7 9]
@@ -13907,64 +13779,53 @@ 
    Exercises and Results
 
    
 
    
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-Exercise 4: Primality Test
    
-An integer $n\in\mathbb{N}$ is called a prime number if $n>1$ and if $n$ is divisible only by $1$ and itself. Write a function isprime that inputs an integer n and outputs the boolean value True if n is a prime number and False otherwise. 
+Exercise 4: Primality Test
    
+An integer $n\in\mathbb{N}$ is called a prime number if $n>1$ and if $n$ is divisible only by $1$ and itself. Write a function isprime that inputs an integer n and outputs the boolean value True if n is a prime number and False otherwise. 
 
      
-
    •  Test your function for $n=1$, $n=17$, $n=1221$, and $n=1223$.
      •  
-
    •  Use this function to output the first $20$ prime numbers. 
      •  
+
    •  Test your function for $n=1$, $n=17$, $n=1221$, and $n=1223$.
      • 
+
    •  Use this function to output the first $20$ prime numbers. 
      • 
 
    •  Discuss efficiency issues. Is there a more efficient way to compute the first $20$ prime numbers?
      • 
-
    •  Have a look at the algorithm Sieve of Eratosthenes, which is an ancient algorithm for finding all prime numbers up to any given limit.
      •         
-
          
+
  •  Have a look at the algorithm Sieve of Eratosthenes, which is an ancient algorithm for finding all prime numbers up to any given limit.
    • 
+
 
    
 
    
 
    
 
    
 
    
 
    
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    In [18]:
    
+
    In [18]:
    
 
    
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+
    
+
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 # Your Solution
 #</solution>
 
    
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+
    
+
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    n = 1, isprime = False
 n = 17, isprime = True
@@ -13974,33 +13835,29 @@ 
    Exercises and Results
 
    
 
    
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-Exercise 5: Function for Root Finding
    
-Let $f:\mathbb{R}\to\mathbb{R}$ be a continuous function and let $a,b\in\mathbb{R}$ be two numbers such that $aroot in the interval $[a,b]$. In other words, there is a number $r\in[a,b]$ such that $f(r)=0$. To find such a root, one can proceed as follows: 
+Exercise 5: Function for Root Finding
    
+Let $f:\mathbb{R}\to\mathbb{R}$ be a continuous function and let $a,b\in\mathbb{R}$ be two numbers such that $aroot in the interval $[a,b]$. In other words, there is a number $r\in[a,b]$ such that $f(r)=0$. To find such a root, one can proceed as follows: 
 
      
-
    •  Let $c = (a+b)/2$ be the center. If $f(a)=0$, $f(b)=0$, or $f(c)=0$, then we have found a root and we can stop. 
      •  
-
    •  Otherwise, either $f(a)$ and $f(c)$, or $f(c)$ and $f(b)$ have opposite signs. In the first case, continue with the interval $[a,c]$, otherwise with the interval $[c,b]$.
      •  
+
    •  Let $c = (a+b)/2$ be the center. If $f(a)=0$, $f(b)=0$, or $f(c)=0$, then we have found a root and we can stop. 
      • 
+
    •  Otherwise, either $f(a)$ and $f(c)$, or $f(c)$ and $f(b)$ have opposite signs. In the first case, continue with the interval $[a,c]$, otherwise with the interval $[c,b]$.
      • 
 
    •  Iterate this interval-halving procedure until the interval size is below a given threshold parameter (e.g., $10^{-5}$) and a sufficient approximation for the root is obtained.
      • 
-
      
-
-Write a function search_root that implements this procedure (also known as bisection method). The input arguments should be f, a, b, and thresh. Here, f is a Python function realizing a continuous function $f:\mathbb{R}\to\mathbb{R}$. The parameter thresh is the threshold parameter, which should be set to the value $10^{-5}$ by default. The function search_root should check if a < b and if the opposite sign condition for f(a) and f(b) is fulfilled (if not it should return the value np.nan). 
-
+
+
    Write a function search_root that implements this procedure (also known as bisection method). The input arguments should be f, a, b, and thresh. Here, f is a Python function realizing a continuous function $f:\mathbb{R}\to\mathbb{R}$. The parameter thresh is the threshold parameter, which should be set to the value $10^{-5}$ by default. The function search_root should check if a < b and if the opposite sign condition for f(a) and f(b) is fulfilled (if not it should return the value np.nan).
    
 
      
-
    •  Evaluate search_root for f given by $f(x) = x^2-2$, a=0, and b=2. 
      (Note: You may define a separate Python function f that implements  $f(x) = x^2-2$. This function can then be used as one of the input argument to the Python function search_root.)
      •  
-
    •  Test search_root for the same function when using a=2 and b=4.  
      •   
-
    •  Test search_root for the same function when using a=4 and b=2.  
      •     
-
    •  Evaluate search_root for f being np.sin using a=3 and b=4. 
      •  
+
    •  Evaluate search_root for f given by $f(x) = x^2-2$, a=0, and b=2. 
      (Note: You may define a separate Python function f that implements  $f(x) = x^2-2$. This function can then be used as one of the input argument to the Python function search_root.)
      • 
+
    •  Test search_root for the same function when using a=2 and b=4.  
      • 
+
    •  Test search_root for the same function when using a=4 and b=2.  
      • 
+
    •  Evaluate search_root for f being np.sin using a=3 and b=4. 
      • 
 
    
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@@ -14015,40 +13872,31 @@ 
    Exercises and Results
 
    
 
    
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    In [20]:
    
+
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+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
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+
    
+
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    === Function f(x) = x**2-2 ===
 a = 0.000000, b = 2.000000, c = 1.000000, f(a) = -2.000000, f(b) = 2.000000, f(c) = -1.000000
@@ -14100,25 +13948,20 @@ 
    Exercises and Results
 
    
 
    
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+

    - - - - diff --git a/PCP_04_control.ipynb b/PCP_04_control.ipynb index 2ad6a5e..957d1b9 100644 --- a/PCP_04_control.ipynb +++ b/PCP_04_control.ipynb @@ -62,24 +62,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.604040Z", - "iopub.status.busy": "2021-09-23T10:11:22.601709Z", - "iopub.status.idle": "2021-09-23T10:11:22.608293Z", - "shell.execute_reply": "2021-09-23T10:11:22.609100Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Negative\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "n = -2\n", "if n < 0:\n", @@ -99,26 +84,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.616138Z", - "iopub.status.busy": "2021-09-23T10:11:22.615189Z", - "iopub.status.idle": "2021-09-23T10:11:22.617894Z", - "shell.execute_reply": "2021-09-23T10:11:22.618593Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0-1-2-\n", - "a-2-c-def-\n", - "e-x-a-m-p-l-e-\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "for i in range(3):\n", " print(i, end='-')\n", @@ -142,24 +110,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.624980Z", - "iopub.status.busy": "2021-09-23T10:11:22.624133Z", - "iopub.status.idle": "2021-09-23T10:11:22.627729Z", - "shell.execute_reply": "2021-09-23T10:11:22.628426Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0-1-2-3-4-" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "a = 0\n", "while a < 5:\n", @@ -176,24 +129,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.634452Z", - "iopub.status.busy": "2021-09-23T10:11:22.633636Z", - "iopub.status.idle": "2021-09-23T10:11:22.636401Z", - "shell.execute_reply": "2021-09-23T10:11:22.637104Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "a1-a2-a3-b1-b2-b3-" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "for k in 'abcd':\n", " if k == 'c':\n", @@ -213,24 +151,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.643860Z", - "iopub.status.busy": "2021-09-23T10:11:22.641650Z", - "iopub.status.idle": "2021-09-23T10:11:22.645707Z", - "shell.execute_reply": "2021-09-23T10:11:22.646450Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "a1-a2-a3-a5-b1-b2-b3-b5-d1-d2-d3-d5-" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "for k in 'abcd':\n", " if k == 'c':\n", @@ -253,29 +176,9 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.653782Z", - "iopub.status.busy": "2021-09-23T10:11:22.652993Z", - "iopub.status.idle": "2021-09-23T10:11:22.655920Z", - "shell.execute_reply": "2021-09-23T10:11:22.656400Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Addition: 5 + 0 + 0\n", - "5\n", - "Addition: 5 + 2 + 1\n", - "8\n", - "Addition: 5 + 0 + 4\n", - "9\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def add(a, b=0, c=0):\n", " \"\"\"Function to add three numbers\n", @@ -314,26 +217,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.665500Z", - "iopub.status.busy": "2021-09-23T10:11:22.664540Z", - "iopub.status.idle": "2021-09-23T10:11:22.668081Z", - "shell.execute_reply": "2021-09-23T10:11:22.667502Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "result: (8, -2) \n", - "result: 8 -2 \n", - "result: 8.0 -2.0 \n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def add_and_diff(a, b=0):\n", " \"\"\"Function to add and subtract two numbers\n", @@ -367,38 +253,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.673151Z", - "iopub.status.busy": "2021-09-23T10:11:22.672366Z", - "iopub.status.idle": "2021-09-23T10:11:22.675022Z", - "shell.execute_reply": "2021-09-23T10:11:22.675860Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Help on function add in module __main__:\n", - "\n", - "add(a, b=0, c=0)\n", - " Function to add three numbers\n", - " \n", - " Notebook: PCP_04_control.ipynb\n", - " \n", - " Args:\n", - " a: first number\n", - " b: second number (Default value = 0)\n", - " c: third number (Default value = 0)\n", - " \n", - " Returns:\n", - " Sum of a, b and c\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "help(add)" ] @@ -415,36 +272,9 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.685572Z", - "iopub.status.busy": "2021-09-23T10:11:22.684788Z", - "iopub.status.idle": "2021-09-23T10:11:22.687536Z", - "shell.execute_reply": "2021-09-23T10:11:22.688339Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "n= 1, s=1\n", - "n= 2, s=3\n", - "n= 3, s=6\n", - "n= 4, s=10\n", - "n= 5, s=15\n", - "n= 6, s=21\n", - "n= 7, s=28\n", - "n= 8, s=36\n", - "n= 9, s=45\n", - "n= 10, s=55\n", - "n= 11, s=66\n", - "n= 12, s=78\n", - "n= 13, s=91\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def sum_n(n):\n", " \"\"\"Function that sums up the integers from 1 to n\n", @@ -477,29 +307,9 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:22.697681Z", - "iopub.status.busy": "2021-09-23T10:11:22.696898Z", - "iopub.status.idle": "2021-09-23T10:11:23.367947Z", - "shell.execute_reply": "2021-09-23T10:11:23.368645Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Computation with sum_n: n=1000, s=500500\n", - "Computation with sum_n_numpy: n=1000, s=500500\n", - "Computation with sum_n_math: n=1000, s=500500\n", - "Runtime for sum_n: 0.576335 ms\n", - "Runtime for sum_n_numpy: 0.027800 ms\n", - "Runtime for sum_n_math: 0.000309 ms\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "\n", @@ -568,15 +378,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.373102Z", - "iopub.status.busy": "2021-09-23T10:11:23.372262Z", - "iopub.status.idle": "2021-09-23T10:11:23.381529Z", - "shell.execute_reply": "2021-09-23T10:11:23.383549Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.control\n", @@ -596,15 +399,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.388371Z", - "iopub.status.busy": "2021-09-23T10:11:23.387363Z", - "iopub.status.idle": "2021-09-23T10:11:23.389873Z", - "shell.execute_reply": "2021-09-23T10:11:23.390565Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -614,28 +410,9 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.395564Z", - "iopub.status.busy": "2021-09-23T10:11:23.394811Z", - "iopub.status.idle": "2021-09-23T10:11:23.397648Z", - "shell.execute_reply": "2021-09-23T10:11:23.398428Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "default: nan\n", - "s='large': 1267650600228229401496703205376\n", - "s='small': 7.888609052210118e-31\n", - "s='random': 0.0963201685180527\n", - "s='test': nan\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.control.exercise_give_number(show_result=show_result)" ] @@ -653,15 +430,8 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.404414Z", - "iopub.status.busy": "2021-09-23T10:11:23.402055Z", - "iopub.status.idle": "2021-09-23T10:11:23.405867Z", - "shell.execute_reply": "2021-09-23T10:11:23.406613Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -671,27 +441,9 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.411926Z", - "iopub.status.busy": "2021-09-23T10:11:23.411139Z", - "iopub.status.idle": "2021-09-23T10:11:23.413779Z", - "shell.execute_reply": "2021-09-23T10:11:23.414485Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Input matrix:\n", - "[[1 2 6]\n", - " [5 5 2]]\n", - "Vector containing the row means: [3. 4.]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.control.exercise_row_mean(show_result=show_result)" ] @@ -710,15 +462,8 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.418809Z", - "iopub.status.busy": "2021-09-23T10:11:23.418133Z", - "iopub.status.idle": "2021-09-23T10:11:23.420210Z", - "shell.execute_reply": "2021-09-23T10:11:23.420915Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -728,31 +473,9 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.427034Z", - "iopub.status.busy": "2021-09-23T10:11:23.426209Z", - "iopub.status.idle": "2021-09-23T10:11:23.429412Z", - "shell.execute_reply": "2021-09-23T10:11:23.430106Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "x = [0 1 2 3 4 5 6 7 8 9]\n", - "y = [1 3 5 7 9]\n", - "x = [[0 1 2 3 4 5 6 7 8 9]]\n", - "y = None\n", - "x =\n", - "[[1 2 3]\n", - " [4 5 6]]\n", - "y = None\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.control.exercise_odd(show_result=show_result)" ] @@ -776,15 +499,8 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.434642Z", - "iopub.status.busy": "2021-09-23T10:11:23.433909Z", - "iopub.status.idle": "2021-09-23T10:11:23.436261Z", - "shell.execute_reply": "2021-09-23T10:11:23.436975Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -794,29 +510,9 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.451212Z", - "iopub.status.busy": "2021-09-23T10:11:23.450483Z", - "iopub.status.idle": "2021-09-23T10:11:23.453090Z", - "shell.execute_reply": "2021-09-23T10:11:23.453832Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "n = 1, isprime = False\n", - "n = 17, isprime = True\n", - "n = 1221, isprime = False\n", - "n = 1223, isprime = True\n", - "List of first 20 prime numbers:\n", - "2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 " - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.control.exercise_isprime(show_result=show_result)" ] @@ -857,15 +553,8 @@ }, { "cell_type": "code", - "execution_count": 20, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.458031Z", - "iopub.status.busy": "2021-09-23T10:11:23.457215Z", - "iopub.status.idle": "2021-09-23T10:11:23.459908Z", - "shell.execute_reply": "2021-09-23T10:11:23.461327Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -875,70 +564,9 @@ }, { "cell_type": "code", - "execution_count": 21, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:23.469235Z", - "iopub.status.busy": "2021-09-23T10:11:23.467877Z", - "iopub.status.idle": "2021-09-23T10:11:23.472555Z", - "shell.execute_reply": "2021-09-23T10:11:23.473332Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "=== Function f(x) = x**2-2 ===\n", - "a = 0.000000, b = 2.000000, c = 1.000000, f(a) = -2.000000, f(b) = 2.000000, f(c) = -1.000000\n", - "a = 1.000000, b = 2.000000, c = 1.500000, f(a) = -1.000000, f(b) = 2.000000, f(c) = 0.250000\n", - "a = 1.000000, b = 1.500000, c = 1.250000, f(a) = -1.000000, f(b) = 0.250000, f(c) = -0.437500\n", - "a = 1.250000, b = 1.500000, c = 1.375000, f(a) = -0.437500, f(b) = 0.250000, f(c) = -0.109375\n", - "a = 1.375000, b = 1.500000, c = 1.437500, f(a) = -0.109375, f(b) = 0.250000, f(c) = 0.066406\n", - "a = 1.375000, b = 1.437500, c = 1.406250, f(a) = -0.109375, f(b) = 0.066406, f(c) = -0.022461\n", - "a = 1.406250, b = 1.437500, c = 1.421875, f(a) = -0.022461, f(b) = 0.066406, f(c) = 0.021729\n", - "a = 1.406250, b = 1.421875, c = 1.414062, f(a) = -0.022461, f(b) = 0.021729, f(c) = -0.000427\n", - "a = 1.414062, b = 1.421875, c = 1.417969, f(a) = -0.000427, f(b) = 0.021729, f(c) = 0.010635\n", - "a = 1.414062, b = 1.417969, c = 1.416016, f(a) = -0.000427, f(b) = 0.010635, f(c) = 0.005100\n", - "a = 1.414062, b = 1.416016, c = 1.415039, f(a) = -0.000427, f(b) = 0.005100, f(c) = 0.002336\n", - "a = 1.414062, b = 1.415039, c = 1.414551, f(a) = -0.000427, f(b) = 0.002336, f(c) = 0.000954\n", - "a = 1.414062, b = 1.414551, c = 1.414307, f(a) = -0.000427, f(b) = 0.000954, f(c) = 0.000263\n", - "a = 1.414062, b = 1.414307, c = 1.414185, f(a) = -0.000427, f(b) = 0.000263, f(c) = -0.000082\n", - "a = 1.414185, b = 1.414307, c = 1.414246, f(a) = -0.000082, f(b) = 0.000263, f(c) = 0.000091\n", - "a = 1.414185, b = 1.414246, c = 1.414215, f(a) = -0.000082, f(b) = 0.000091, f(c) = 0.000004\n", - "a = 1.414185, b = 1.414215, c = 1.414200, f(a) = -0.000082, f(b) = 0.000004, f(c) = -0.000039\n", - "a = 1.414200, b = 1.414215, c = 1.414207, f(a) = -0.000039, f(b) = 0.000004, f(c) = -0.000017\n", - "Root r = 1.414207, f(r) = -0.000017\n", - "=== Function f(x) = x**2-2 ===\n", - "a = 2.000000, b = 4.000000, f(a) = 2.000000, f(b) = 14.000000\n", - "Sign condition not fulfilled\n", - "Root r = nan, f(r) = nan\n", - "=== Function f(x) = x**2-2 ===\n", - "a = 4.000000, b = 2.000000\n", - "Interval not valid.\n", - "Root r = nan, f(r) = nan\n", - "=== Function f(x) = sin(x) ===\n", - "a = 3.000000, b = 4.000000, c = 3.500000, f(a) = 0.141120, f(b) = -0.756802, f(c) = -0.350783\n", - "a = 3.000000, b = 3.500000, c = 3.250000, f(a) = 0.141120, f(b) = -0.350783, f(c) = -0.108195\n", - "a = 3.000000, b = 3.250000, c = 3.125000, f(a) = 0.141120, f(b) = -0.108195, f(c) = 0.016592\n", - "a = 3.125000, b = 3.250000, c = 3.187500, f(a) = 0.016592, f(b) = -0.108195, f(c) = -0.045891\n", - "a = 3.125000, b = 3.187500, c = 3.156250, f(a) = 0.016592, f(b) = -0.045891, f(c) = -0.014657\n", - "a = 3.125000, b = 3.156250, c = 3.140625, f(a) = 0.016592, f(b) = -0.014657, f(c) = 0.000968\n", - "a = 3.140625, b = 3.156250, c = 3.148438, f(a) = 0.000968, f(b) = -0.014657, f(c) = -0.006845\n", - "a = 3.140625, b = 3.148438, c = 3.144531, f(a) = 0.000968, f(b) = -0.006845, f(c) = -0.002939\n", - "a = 3.140625, b = 3.144531, c = 3.142578, f(a) = 0.000968, f(b) = -0.002939, f(c) = -0.000985\n", - "a = 3.140625, b = 3.142578, c = 3.141602, f(a) = 0.000968, f(b) = -0.000985, f(c) = -0.000009\n", - "a = 3.140625, b = 3.141602, c = 3.141113, f(a) = 0.000968, f(b) = -0.000009, f(c) = 0.000479\n", - "a = 3.141113, b = 3.141602, c = 3.141357, f(a) = 0.000479, f(b) = -0.000009, f(c) = 0.000235\n", - "a = 3.141357, b = 3.141602, c = 3.141479, f(a) = 0.000235, f(b) = -0.000009, f(c) = 0.000113\n", - "a = 3.141479, b = 3.141602, c = 3.141541, f(a) = 0.000113, f(b) = -0.000009, f(c) = 0.000052\n", - "a = 3.141541, b = 3.141602, c = 3.141571, f(a) = 0.000052, f(b) = -0.000009, f(c) = 0.000022\n", - "a = 3.141571, b = 3.141602, c = 3.141586, f(a) = 0.000022, f(b) = -0.000009, f(c) = 0.000006\n", - "a = 3.141586, b = 3.141602, c = 3.141594, f(a) = 0.000006, f(b) = -0.000009, f(c) = -0.000001\n", - "Root r = 3.141594, sin(r) = -0.000001\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.control.exercise_root(show_result=show_result)" ] @@ -970,7 +598,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" }, "toc": { "base_numbering": 1, diff --git a/PCP_05_vis.html b/PCP_05_vis.html index 2030e4f..59987d4 100644 --- a/PCP_05_vis.html +++ b/PCP_05_vis.html @@ -1,16 +1,90 @@ - - - -PCP_05_vis - - - - - + + + +PCP_05_vis + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
    -
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    -PCP Teaser +PCP Teaser
    @@ -13091,16 +13097,16 @@
    -

    Unit 5: Visualization Using Matplotlib

    @@ -13108,17 +13114,14 @@

    Unit 5: Visualization Using Matp
    -

    +

    Overview and Learning Objectives

    - -In areas such as data sciences, multimedia engineering, and signal processing, one typically transforms, analyzes, and classifies large amounts of complex data. Following the famous saying "A Picture Is Worth a Thousand Words," visualization techniques can be crucial for gaining a deeper understanding of the data to start with, the processing pipeline, the intermediate feature representations, and the final results. Therefore, we consider learning how to generate and use suitable visualizations central to science education. Python provides powerful functionalities for generating visualizations and plotting figures. In this unit, we give a short introduction to data visualization using the Python library Matplotlib. Rather than being comprehensive, we discuss in this notebook concrete examples on how to plot the graph of one-dimensional functions (e.g., the waveform of an audio signal), how to visualize data on a regular two-dimensional raster (e.g., an image), and how to plot surfaces in a three-dimensional space. In particular, we show how one can adapt the plots' sizes, colors, axes, and labels. In Exercise 1, you learn alternatives for plotting a one-dimensional function. With Exercise 2, we prepare you for more advanced topics such as roots on unity (Unit 7) and sampling (Unit 8). In Exercise 3, you will learn how to switch to a logarithmic axis so that numerical data distributed over a wide range is displayed in a compact format. The main learning objective of Exercise 4 is to better understand the concept of grids and their generation using the NumPy function np.meshgrid. Once having this data structure, one can easily define a function over the grid and plot its graph as a surface. Finally, we hope you will have some fun with Exercise 5, where you will apply different Python functions to load, manipulate, and save an image. In the subsequent units of the PCP notebooks, we will make massive use of visualizations to explain concepts in signal processing applied to concrete examples. For further example, we refer to the following websites: - -
      +

      In areas such as data sciences, multimedia engineering, and signal processing, one typically transforms, analyzes, and classifies large amounts of complex data. Following the famous saying "A Picture Is Worth a Thousand Words," visualization techniques can be crucial for gaining a deeper understanding of the data to start with, the processing pipeline, the intermediate feature representations, and the final results. Therefore, we consider learning how to generate and use suitable visualizations central to science education. Python provides powerful functionalities for generating visualizations and plotting figures. In this unit, we give a short introduction to data visualization using the Python library Matplotlib. Rather than being comprehensive, we discuss in this notebook concrete examples on how to plot the graph of one-dimensional functions (e.g., the waveform of an audio signal), how to visualize data on a regular two-dimensional raster (e.g., an image), and how to plot surfaces in a three-dimensional space. In particular, we show how one can adapt the plots' sizes, colors, axes, and labels. In Exercise 1, you learn alternatives for plotting a one-dimensional function. With Exercise 2, we prepare you for more advanced topics such as roots on unity (Unit 7) and sampling (Unit 8). In Exercise 3, you will learn how to switch to a logarithmic axis so that numerical data distributed over a wide range is displayed in a compact format. The main learning objective of Exercise 4 is to better understand the concept of grids and their generation using the NumPy function np.meshgrid. Once having this data structure, one can easily define a function over the grid and plot its graph as a surface. Finally, we hope you will have some fun with Exercise 5, where you will apply different Python functions to load, manipulate, and save an image. In the subsequent units of the PCP notebooks, we will make massive use of visualizations to explain concepts in signal processing applied to concrete examples. For further example, we refer to the following websites:

      + - +
    • FMP Notebooks that contain an a unit on Python Visualization, a unit on Annotation Visualization, and numerous visualization examples in the context of audio and music processing.
      • +
    @@ -13126,69 +13129,56 @@

    Overview and Learning Objectives

    -

    Python Packages for Visualization

    The library matplotlib is a widely used Python package for graphics, which allows a user to produce high-quality figures in a variety of formats as well as interactive environments across platforms. The main website contains detailed documentation and links to illustrative code examples. In particular, we recommend having a look at the gallery, which contains numerous examples of the many things one can do with matplotlib. An alternative to matplotlib is seaborn (main website), which is a library mainly targeting on visualizing statistical data.

    +

    Python Packages for Visualization

    The library matplotlib is a widely used Python package for graphics, which allows a user to produce high-quality figures in a variety of formats as well as interactive environments across platforms. The main website contains detailed documentation and links to illustrative code examples. In particular, we recommend having a look at the gallery, which contains numerous examples of the many things one can do with matplotlib. An alternative to matplotlib is seaborn (main website), which is a library mainly targeting on visualizing statistical data.

    In this notebook, we focus on matplotlib.pyplot, which provides a plotting framework similar to MATLAB. In the following, we import matplotlib.pyplot using the abbreviation plt (following general conventions) and use the Python command dir(plt) that lists all names contained in the module.

    -
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    In [1]:
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    In [1]:
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    import matplotlib.pyplot as plt
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    import matplotlib.pyplot as plt
 list_plt_names = dir(plt)
 print(list_plt_names)
 
    
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    - - +
    -
    ['Annotation', 'Arrow', 'Artist', 'AutoLocator', 'Axes', 'Button', 'Circle', 'Figure', 'FigureCanvasBase', 'FixedFormatter', 'FixedLocator', 'FormatStrFormatter', 'Formatter', 'FuncFormatter', 'GridSpec', 'IndexLocator', 'Line2D', 'LinearLocator', 'Locator', 'LogFormatter', 'LogFormatterExponent', 'LogFormatterMathtext', 'LogLocator', 'MaxNLocator', 'MultipleLocator', 'Normalize', 'NullFormatter', 'NullLocator', 'Number', 'PolarAxes', 'Polygon', 'Rectangle', 'ScalarFormatter', 'Slider', 'Subplot', 'SubplotTool', 'Text', 'TickHelper', 'Widget', '_INSTALL_FIG_OBSERVER', '_IP_REGISTERED', '__builtins__', '__cached__', '__doc__', '__file__', '__loader__', '__name__', '__package__', '__spec__', '_auto_draw_if_interactive', '_backend_mod', '_get_running_interactive_framework', '_interactive_bk', '_log', '_pylab_helpers', '_setp', '_setup_pyplot_info_docstrings', '_show', 'acorr', 'angle_spectrum', 'annotate', 'arrow', 'autoscale', 'autumn', 'axes', 'axhline', 'axhspan', 'axis', 'axvline', 'axvspan', 'bar', 'barbs', 'barh', 'bone', 'box', 'boxplot', 'broken_barh', 'cbook', 'cla', 'clabel', 'clf', 'clim', 'close', 'cm', 'cohere', 'colorbar', 'colormaps', 'connect', 'contour', 'contourf', 'cool', 'copper', 'csd', 'cycler', 'dedent', 'delaxes', 'deprecated', 'disconnect', 'docstring', 'draw', 'draw_all', 'draw_if_interactive', 'errorbar', 'eventplot', 'figaspect', 'figimage', 'figlegend', 'fignum_exists', 'figtext', 'figure', 'fill', 'fill_between', 'fill_betweenx', 'findobj', 'flag', 'functools', 'gca', 'gcf', 'gci', 'get', 'get_backend', 'get_cmap', 'get_current_fig_manager', 'get_figlabels', 'get_fignums', 'get_plot_commands', 'get_scale_docs', 'get_scale_names', 'getp', 'ginput', 'gray', 'grid', 'hexbin', 'hist', 'hist2d', 'hlines', 'hot', 'hsv', 'importlib', 'imread', 'imsave', 'imshow', 'inferno', 'inspect', 'install_repl_displayhook', 'interactive', 'ioff', 'ion', 'isinteractive', 'jet', 'legend', 'locator_params', 'logging', 'loglog', 'magma', 'magnitude_spectrum', 'margins', 'matplotlib', 'matshow', 'minorticks_off', 'minorticks_on', 'mlab', 'new_figure_manager', 'nipy_spectral', 'np', 'pause', 'pcolor', 'pcolormesh', 'phase_spectrum', 'pie', 'pink', 'plasma', 'plot', 'plot_date', 'plotfile', 'plotting', 'polar', 'prism', 'psd', 'pylab_setup', 'quiver', 'quiverkey', 'rc', 'rcParams', 'rcParamsDefault', 'rcParamsOrig', 'rc_context', 'rcdefaults', 'rcsetup', 're', 'register_cmap', 'rgrids', 'savefig', 'sca', 'scatter', 'sci', 'semilogx', 'semilogy', 'set_cmap', 'set_loglevel', 'setp', 'show', 'silent_list', 'specgram', 'spring', 'spy', 'stackplot', 'stem', 'step', 'streamplot', 'style', 'subplot', 'subplot2grid', 'subplot_tool', 'subplots', 'subplots_adjust', 'summer', 'suptitle', 'switch_backend', 'sys', 'table', 'text', 'thetagrids', 'tick_params', 'ticklabel_format', 'tight_layout', 'time', 'title', 'tricontour', 'tricontourf', 'tripcolor', 'triplot', 'twinx', 'twiny', 'uninstall_repl_displayhook', 'violinplot', 'viridis', 'vlines', 'waitforbuttonpress', 'warn_deprecated', 'winter', 'xcorr', 'xkcd', 'xlabel', 'xlim', 'xscale', 'xticks', 'ylabel', 'ylim', 'yscale', 'yticks']
+
    ['Annotation', 'Arrow', 'Artist', 'AutoLocator', 'Axes', 'Button', 'Circle', 'Enum', 'ExitStack', 'Figure', 'FigureBase', 'FigureCanvasBase', 'FigureManagerBase', 'FixedFormatter', 'FixedLocator', 'FormatStrFormatter', 'Formatter', 'FuncFormatter', 'GridSpec', 'IndexLocator', 'Line2D', 'LinearLocator', 'Locator', 'LogFormatter', 'LogFormatterExponent', 'LogFormatterMathtext', 'LogLocator', 'MaxNLocator', 'MouseButton', 'MultipleLocator', 'Normalize', 'NullFormatter', 'NullLocator', 'Number', 'PolarAxes', 'Polygon', 'Rectangle', 'ScalarFormatter', 'Slider', 'Subplot', 'SubplotSpec', 'Text', 'TickHelper', 'Widget', '_REPL_DISPLAYHOOK', '_ReplDisplayHook', '__builtins__', '__cached__', '__doc__', '__file__', '__loader__', '__name__', '__package__', '__spec__', '_api', '_auto_draw_if_interactive', '_backend_mod', '_copy_docstring_and_deprecators', '_docstring', '_draw_all_if_interactive', '_get_backend_mod', '_get_pyplot_commands', '_get_required_interactive_framework', '_interactive_bk', '_log', '_pylab_helpers', '_warn_if_gui_out_of_main_thread', 'acorr', 'angle_spectrum', 'annotate', 'arrow', 'autoscale', 'autumn', 'axes', 'axhline', 'axhspan', 'axis', 'axline', 'axvline', 'axvspan', 'bar', 'bar_label', 'barbs', 'barh', 'bone', 'box', 'boxplot', 'broken_barh', 'cbook', 'cla', 'clabel', 'clf', 'clim', 'close', 'cm', 'cohere', 'color_sequences', 'colorbar', 'colormaps', 'connect', 'contour', 'contourf', 'cool', 'copper', 'csd', 'cycler', 'delaxes', 'disconnect', 'draw', 'draw_all', 'draw_if_interactive', 'errorbar', 'eventplot', 'figaspect', 'figimage', 'figlegend', 'fignum_exists', 'figtext', 'figure', 'fill', 'fill_between', 'fill_betweenx', 'findobj', 'flag', 'functools', 'gca', 'gcf', 'gci', 'get', 'get_backend', 'get_cmap', 'get_current_fig_manager', 'get_figlabels', 'get_fignums', 'get_plot_commands', 'get_scale_names', 'getp', 'ginput', 'gray', 'grid', 'hexbin', 'hist', 'hist2d', 'hlines', 'hot', 'hsv', 'importlib', 'imread', 'imsave', 'imshow', 'inferno', 'inspect', 'install_repl_displayhook', 'interactive', 'ioff', 'ion', 'isinteractive', 'jet', 'legend', 'locator_params', 'logging', 'loglog', 'magma', 'magnitude_spectrum', 'margins', 'matplotlib', 'matshow', 'minorticks_off', 'minorticks_on', 'mlab', 'new_figure_manager', 'nipy_spectral', 'np', 'pause', 'pcolor', 'pcolormesh', 'phase_spectrum', 'pie', 'pink', 'plasma', 'plot', 'plot_date', 'polar', 'prism', 'psd', 'quiver', 'quiverkey', 'rc', 'rcParams', 'rcParamsDefault', 'rcParamsOrig', 'rc_context', 'rcdefaults', 'rcsetup', 're', 'register_cmap', 'rgrids', 'savefig', 'sca', 'scatter', 'sci', 'semilogx', 'semilogy', 'set_cmap', 'set_loglevel', 'setp', 'show', 'specgram', 'spring', 'spy', 'stackplot', 'stairs', 'stem', 'step', 'streamplot', 'style', 'subplot', 'subplot2grid', 'subplot_mosaic', 'subplot_tool', 'subplots', 'subplots_adjust', 'summer', 'suptitle', 'switch_backend', 'sys', 'table', 'text', 'thetagrids', 'threading', 'tick_params', 'ticklabel_format', 'tight_layout', 'time', 'title', 'tricontour', 'tricontourf', 'tripcolor', 'triplot', 'twinx', 'twiny', 'uninstall_repl_displayhook', 'violinplot', 'viridis', 'vlines', 'waitforbuttonpress', 'winter', 'xcorr', 'xkcd', 'xlabel', 'xlim', 'xscale', 'xticks', 'ylabel', 'ylim', 'yscale', 'yticks']
    -
    -
    -

    -

    Basic Plotting Function (1D)

    We start with some basic examples that show how the library matplotlib works. First, we import all Python packages required in this notebook. The command %matplotlib inline ensures that the backend of matplotlib is set to inline such that figures are displayed within the Jupyter notebook.

    - +

    +

    Basic Plotting Function (1D)

    We start with some basic examples that show how the library matplotlib works. First, we import all Python packages required in this notebook. The command %matplotlib inline ensures that the backend of matplotlib is set to inline such that figures are displayed within the Jupyter notebook.

    -
    In [2]:
    +
    In [2]:
    -
    -
    import os
+
    
+
    import os
 import numpy as np
 from matplotlib import pyplot as plt
 %matplotlib inline
 
    
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-
    - +
    @@ -13196,18 +13186,17 @@

    Basic Plotting Function (1D)plt.plot. Given two real-valued vectors x and y of the same length, plt.plot(x,y) plots y against x as lines and/or markers. In the following example, we generate a (discrete) time axis t ranging from $-\pi$ and $\pi$. Then, we plot the graph of the sine and cosine function over this time axis in the same figure using the default setting of the plot-function.

    • The command plt.figure(figsize=(6, 2)) is used to create a new figure of a specific size determined by figsize.
      • -
    • The command tight_layout() is used to automatically adjust the final layout of the generated figure.
      • +
    • The command tight_layout() is used to automatically adjust the final layout of the generated figure.
    -

    -
    In [3]:
    +
    In [3]:
    -
    -
    t = np.linspace(-np.pi, np.pi, 256, endpoint=True)
+
    
+
    t = np.linspace(-np.pi, np.pi, 256, endpoint=True)
 f_cos = np.cos(t)
 f_sin = np.sin(t)
 
@@ -13216,563 +13205,413 @@ 
    Basic Plotting Function (1D)plt.plot(t, f_sin)
 plt.tight_layout()
 
    
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    Next, we show how one may deviate from the plotting default settings. In particular, we modify the figure by changing colors, adding a legend and labels, and modifying the axes. Furthermore, we export the figure as PNG file.

    -
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    In [4]:
    +
    In [4]:
    -
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    plt.figure(figsize=(6, 2.5))
-plt.title('Title of Figure', fontsize=12)
+
    
+
    plt.figure(figsize=(6, 2.5))
+plt.title('Title of Figure', fontsize=12)
 t = np.linspace(-np.pi, np.pi, 256, endpoint=True)
 f_cos = np.cos(t)
 f_sin = np.sin(t)
-plt.plot(t, f_cos, color='blue', linewidth=2.0, linestyle='-', label='cos')
-plt.plot(t, f_sin, color='red', linewidth=2.0, linestyle='-', label='sin')
-plt.legend(loc='upper left', fontsize=12)
+plt.plot(t, f_cos, color='blue', linewidth=2.0, linestyle='-', label='cos')
+plt.plot(t, f_sin, color='red', linewidth=2.0, linestyle='-', label='sin')
+plt.legend(loc='upper left', fontsize=12)
 plt.xlim(-np.pi, np.pi)
 plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],
-           [r'$-\pi$', r'$-\pi/2$', r'$0$', r'$+\pi/2$', r'$+\pi$'], fontsize=10)
+           [r'$-\pi$', r'$-\pi/2$', r'$0$', r'$+\pi/2$', r'$+\pi$'], fontsize=10)
 plt.ylim(f_cos.min() * 1.1, f_cos.max() * 1.1)
 plt.yticks([-1, 0, 1], fontsize=10)
-plt.xlabel('Angle (radians)')
-plt.ylabel('Amplitude')
+plt.xlabel('Angle (radians)')
+plt.ylabel('Amplitude')
 plt.tight_layout()
 
 # This requires that the output folder exists
-output_path_filename = os.path.join('.', 'output', 'Figure_CosSin.png')
+output_path_filename = os.path.join('.', 'output', 'Figure_CosSin.png')
 plt.savefig(output_path_filename)
 
    
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    The next example demonstrates how to create subplots using subplot and axes .

    -
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    In [5]:
    +
    In [5]:
    -
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    plt.figure(figsize=(8, 3))
+
    
+
    plt.figure(figsize=(8, 3))
 
 plt.subplot(1, 3, 1)
 plt.yticks(())
-plt.title('Using subplots', fontsize=12)
+plt.title('Using subplots', fontsize=12)
 
 plt.subplot(1, 3, 3)
 plt.yticks(())
-plt.title('Using subplots', fontsize=12)
+plt.title('Using subplots', fontsize=12)
 
 plt.axes([0.3, 0.3, 0.5, 0.5])    # [left, bottom, width, height]
-plt.title('Using axes', fontsize=12)
+plt.title('Using axes', fontsize=12)
 plt.xlim(0, 5)
 plt.ylim(-2, 2)
 plt.grid()
 ax = plt.gca()
-plt.setp(ax.get_xticklabels(), rotation='vertical', fontsize=10)
-plt.text(1, -1, 'Text', ha='center', va='center', size=30, color='red')
+plt.setp(ax.get_xticklabels(), rotation='vertical', fontsize=10)
+plt.text(1, -1, 'Text', ha='center', va='center', size=30, color='red')
 
-output_path_filename = os.path.join('.', 'output', 'Figure_Subplots.png')
+output_path_filename = os.path.join('.', 'output', 'Figure_Subplots.png')
 plt.savefig(output_path_filename)
 
    
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    -

    -

    Plotting Figures (2D)

    Next, we consider the function plt.imshow, which can be used to visualize data on a 2D regular raster. In particular, the function can be used to visualize a real-valued matrix (two-dimensional array), where the matrix values are shown in a color-coded form. Some basic functionalities and parameters are illustrated by the next example.

    - +

    +

    Plotting Figures (2D)

    Next, we consider the function plt.imshow, which can be used to visualize data on a 2D regular raster. In particular, the function can be used to visualize a real-valued matrix (two-dimensional array), where the matrix values are shown in a color-coded form. Some basic functionalities and parameters are illustrated by the next example.

    -
    In [6]:
    +
    In [6]:
    -
    -
    A = np.arange(5*5).reshape(5, 5)
+
    
+
    A = np.arange(5*5).reshape(5, 5)
 
 plt.figure(figsize=(10, 4))
 plt.subplot(2, 3, 1)
 plt.imshow(A)
-plt.title('Default')
+plt.title('Default')
 
 plt.subplot(2, 3, 2)
 plt.imshow(A)
 plt.colorbar()
-plt.title('Add colorbar')
+plt.title('Add colorbar')
 
 plt.subplot(2, 3, 3)
-plt.imshow(A, aspect='auto')
+plt.imshow(A, aspect='auto')
 plt.colorbar()
-plt.title('Modify aspect ratio')
+plt.title('Modify aspect ratio')
 
 plt.subplot(2, 3, 4)
-plt.imshow(A, aspect='auto', cmap='gray')
+plt.imshow(A, aspect='auto', cmap='gray')
 plt.colorbar()
-plt.title('Change colormap')
+plt.title('Change colormap')
 
 plt.subplot(2, 3, 5)
-plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
+plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
 plt.colorbar()
-plt.title('Change origin')
+plt.title('Change origin')
 
 plt.subplot(2, 3, 6)
-plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
-plt.colorbar(orientation='horizontal')
-plt.title('Rotate colorbar')
+plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
+plt.colorbar(orientation='horizontal')
+plt.title('Rotate colorbar')
 plt.tight_layout()
 
    
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    -
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    As can be seen in the previous figure, the image is positioned such that the pixel centers fall on zero-based (row, column) indices. To have tick labels with some semantic meaning (e.g., a linear axis given in seconds or centimeters rather than in pixels or samples), one can use the extent keyword argument to specify the data coordinates [left, right, lower, upper], where left and right correspond to the range of the horizontal axis, and lower and upper to the range of the vertical axis. Furthermore, one can use the functions plt.xlim and plt.ylim to zoom into a specific part of the figure. Note that the limits used in plt.xlim and plt.ylim refer to the coordinates specified by the extent coordinates. This is illustrated by the following code example.

    -
    -
    In [7]:
    +
    In [7]:
    -
    -
    X, Y = np.meshgrid(np.arange(-2, 3.1, 0.1), np.arange(-1, 2.1, 0.1))
+
    
+
    X, Y = np.meshgrid(np.arange(-2, 3.1, 0.1), np.arange(-1, 2.1, 0.1))
 A = np.sin(X*3) * np.cos(Y*3) * np.exp(-Y**2)
 A[10, 15] = 1.2
 
 plt.figure(figsize=(8, 4))
 plt.subplot(2, 2, 1)
-plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
+plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
 plt.colorbar()
-plt.title('Original')
+plt.title('Original')
 
 plt.subplot(2, 2, 2)
-plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
+plt.imshow(A,  aspect='auto', cmap='gray', origin='lower')
 plt.colorbar()
 plt.xlim((10, 30))
 plt.ylim((6, 14))
-plt.title('Original (zoom)')
+plt.title('Original (zoom)')
 
 plt.subplot(2, 2, 3)
-plt.imshow(A,  aspect='auto', cmap='gray', origin='lower', extent=[-2, 3, -1, 2])
+plt.imshow(A,  aspect='auto', cmap='gray', origin='lower', extent=[-2, 3, -1, 2])
 plt.colorbar()
-plt.title('Apply extent')
+plt.title('Apply extent')
 
 plt.subplot(2, 2, 4)
-plt.imshow(A,  aspect='auto', cmap='gray', origin='lower', extent=[-2, 3, -1, 2])
+plt.imshow(A,  aspect='auto', cmap='gray', origin='lower', extent=[-2, 3, -1, 2])
 plt.colorbar()
 plt.xlim((-1, 0))
 plt.ylim((-0.3, 0.3))
-plt.title('Apply extent (zoom)')
+plt.title('Apply extent (zoom)')
 
 plt.tight_layout()
 
    
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    -

    Plotting Surfaces (3D)

    The library matplotlib also offers various possibilities for creating 3D plots. Technically one needs to create a figure and add a new axis of type Axes3D to it. For details, we refer to the mplot3d tutorial and consider only one example. Based on the previously visualized matrix, the following plot shows a 3D representation of the same data.

    - +

    +

    Plotting Surfaces (3D)

    The library matplotlib also offers various possibilities for creating 3D plots. Technically one needs to create a figure and add a new axis of type Axes3D to it. For details, we refer to the mplot3d tutorial and consider only one example. Based on the previously visualized matrix, the following plot shows a 3D representation of the same data.

    -
    In [8]:
    +
    In [8]:
    -
    -
    from mpl_toolkits.mplot3d import Axes3D
+
    
+
    from mpl_toolkits.mplot3d import Axes3D
 
 X, Y = np.meshgrid(np.arange(-2, 3.1, 0.1), np.arange(-1, 2.1, 0.1))
 A = np.sin(X*3) * np.cos(Y*3) * np.exp(-Y**2)
 A[10, 15] = 1.2
 
 fig = plt.figure(figsize=(10, 6))
-ax = fig.gca(projection='3d')
-ax.plot_surface(X, Y, A, cmap='coolwarm');
+ax = fig.add_subplot(projection = '3d')
+ax.plot_surface(X, Y, A, cmap='coolwarm');
 
    
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    Exercises and Results

    +

    Exercises and Results

    -
    In [9]:
    +
    In [9]:
    -
    -
    import libpcp.vis
+
    
+
    import libpcp.vis
 show_result = True
 
    
-
-
    - +
    -

    +

    -Exercise 1: Plotting 1D Function
    -
      -
    • Create a vector t that represents a discrete time axis (given in seconds) covering the interval $[0, 1]$ sampled with a sampling rate of $F_\mathrm{s}=100~\mathrm{Hz}$. (In other words t[0]=0, t[1]=0.01, ...,t[100]=1 .)
      • -
    • Plot the graph of the sinusoid $x(t) = \mathrm{sin}(2\pi \omega t)$ using frequency $\omega = 5~\mathrm{Hz}$ over the time points specified by t.
      • -
    • Label the horizontal axis (Time (seconds)) and vertical axis (Amplitude) and add a title. Display grid lines.
      • -
    • Modify the appearance of the sinusoid by varying the arguments color, linewidth, linestyle, and marker in the plt.plot function. You can find a table of all possible arguments here. +Exercise 1: Plotting 1D Function
      +
        +
      • Create a vector t that represents a discrete time axis (given in seconds) covering the interval $[0, 1]$ sampled with a sampling rate of $F_\mathrm{s}=100~\mathrm{Hz}$. (In other words t[0]=0, t[1]=0.01, ...,t[100]=1 .)
        • +
      • Plot the graph of the sinusoid $x(t) = \mathrm{sin}(2\pi \omega t)$ using frequency $\omega = 5~\mathrm{Hz}$ over the time points specified by t.
        • +
      • Label the horizontal axis (Time (seconds)) and vertical axis (Amplitude) and add a title. Display grid lines.
        • +
      • Modify the appearance of the sinusoid by varying the arguments color, linewidth, linestyle, and marker in the plt.plot function. You can find a table of all possible arguments here.
      • Set the limits of the horizontal axis such that only one period of the sinusoid is shown.
        • -
      • Use a figure with three subplots and plot one period of the sinusoid using the Python functions plt.stem, plt.step, and plt.bar. Explain the differences. -
      +
    • Use a figure with three subplots and plot one period of the sinusoid using the Python functions plt.stem, plt.step, and plt.bar. Explain the differences. +
    -
    In [10]:
    +
    In [10]:
    -
    -
    #<solution>
+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
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    - +
    -
    In [11]:
    +
    In [11]:
    -
    -
    libpcp.vis.exercise_vis1D(show_result=show_result)
+
    
+
    libpcp.vis.exercise_vis1D(show_result=show_result)
 
    
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    +

    -Exercise 2: Plotting Circle
    -
      -
    • Create a vector t that represents a discrete time axis (given in seconds) covering the interval $[0, 1]$ sampled with a sampling rate of $F_\mathrm{s}$ given in $\mathrm{Hz}$. (See Exercise 1: Plotting 1D Function.)
      • -
    • Specify two functions $f_1(t)$ and $f_2(t)$ such that one obtains a unit circle when plotting the values $f_1(t)$ against the values of $f_2(t)$ using np.plot.
      • -
    • Write a function plot_circle that plots a circle in this way with an argument that specifies the sampling rate $F_\mathrm{s}$.
      • -
    • Apply the function using different sampling rates $F_\mathrm{s}\in\{4,8,16,32\}$
    +Exercise 2: Plotting Circle
    +
      +
    • Create a vector t that represents a discrete time axis (given in seconds) covering the interval $[0, 1]$ sampled with a sampling rate of $F_\mathrm{s}$ given in $\mathrm{Hz}$. (See Exercise 1: Plotting 1D Function.)
      • +
    • Specify two functions $f_1(t)$ and $f_2(t)$ such that one obtains a unit circle when plotting the values $f_1(t)$ against the values of $f_2(t)$ using np.plot.
      • +
    • Write a function plot_circle that plots a circle in this way with an argument that specifies the sampling rate $F_\mathrm{s}$.
      • +
    • Apply the function using different sampling rates $F_\mathrm{s}\in\{4,8,16,32\}$
    -
    In [12]:
    +
    In [12]:
    -
    -
    #<solution>
+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
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    - +
    -
    In [13]:
    +
    In [13]:
    -
    -
    libpcp.vis.exercise_circle(show_result=show_result)
+
    
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    libpcp.vis.exercise_circle(show_result=show_result)
 
    
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    -Exercise 3: Plotting with Logarithmic Axes
    +Exercise 3: Plotting with Logarithmic Axes
    Consider functions $f(x) = e^x$, $g(x) = x$, and $h(x)=1.1 + \mathrm{sin}(10\cdot x)$ for $x\in\mathbb{R}$. For a given sampling rate Fs, let x = np.arange(1/Fs, 10+1/Fs, 1/Fs) be the discretized axis covering the interval [1/Fs, 10]. Furthermore, let f, g, and h be the vectors obtained by evaluating $f$, $g$, and $h$ on x, respectively. Using the sampling rate Fs=100, plot the graphs for all three functions in the same figure (using different colors). Switch on the grid-line option (using plt.grid()). Besides using plt.plot, also use the functions plt.semilogy, plt.semilogx, plt.loglog. What do you observe?
    @@ -13780,85 +13619,68 @@

    Exercises and Results
    -
    In [14]:
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    In [14]:
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    #<solution>
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+
    #<solution>
 # Your Solution
 #</solution>
 
    
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    In [15]:
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    In [15]:
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    libpcp.vis.exercise_logaxis(show_result=show_result)
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    libpcp.vis.exercise_logaxis(show_result=show_result)
 
    
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    -Exercise 4: Plotting 3D Surface (sinc)
    +Exercise 4: Plotting 3D Surface (sinc)
    The $\mathrm{sinc}$-function (np.sinc) is defined by $\mathrm{sinc}(t) := \frac{\mathrm{sin}(\pi t)}{\pi t}$ for $t\in\mathbb{R}$ and $\mathrm{sinc}(0):=1$. In the following, we want to visualize the surface of the function $f(x,y) = \mathrm{sinc}(3x) + \mathrm{sinc}(3y)$ for variables $x, y \in [-1,\, 1]$. To this end, we represent the area $[-1,\, 1]$ by an equidistant 2D-grid with a resolution specified by parameters $\Delta x = \Delta y = 0.01$. The grid points are represented by two equal-sized matrices $\mathbf{X}$ and $\mathbf{Y}$, where $\mathbf{X}$ contains all $x$-coordinates and $\mathbf{Y}$ all $y$-coordinates: -\begin{align*} -\mathbf{X} & = +

    \begin{align*} +\mathbf{X} & = \begin{bmatrix} - -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr - -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr - \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & - \vdots\cr - -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr - -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr + -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr + -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr + \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & + \vdots\cr + -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr + -1 & -0.99 & -0.98 & \cdots & & 0.98 & 0.99 & 1\cr \end{bmatrix} \\[1mm] -\mathbf{Y} & = +\mathbf{Y} & = \begin{bmatrix} - -1 & -1 & -1 & \cdots & & -1 & -1 & -1\cr - -0.99 & -0.99 & -0.99 & \cdots & & -0.99 & -0.99 & -0.99\cr - \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & - \vdots\cr - 0.99 & 0.99 & 0.99 & \cdots & & 0.99 & 0.99 & 0.99\cr - 1 & 1 & 1 & \cdots & & 1 & 1 & 1\cr + -1 & -1 & -1 & \cdots & & -1 & -1 & -1\cr + -0.99 & -0.99 & -0.99 & \cdots & & -0.99 & -0.99 & -0.99\cr + \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & \vdots & + \vdots\cr + 0.99 & 0.99 & 0.99 & \cdots & & 0.99 & 0.99 & 0.99\cr + 1 & 1 & 1 & \cdots & & 1 & 1 & 1\cr \end{bmatrix} -\end{align*} - -

    - - - - diff --git a/PCP_05_vis.ipynb b/PCP_05_vis.ipynb index a7550c2..f43eec6 100644 --- a/PCP_05_vis.ipynb +++ b/PCP_05_vis.ipynb @@ -59,24 +59,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:49.622245Z", - "iopub.status.busy": "2021-09-23T10:11:49.621428Z", - "iopub.status.idle": "2021-09-23T10:11:50.190402Z", - "shell.execute_reply": "2021-09-23T10:11:50.191099Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['Annotation', 'Arrow', 'Artist', 'AutoLocator', 'Axes', 'Button', 'Circle', 'Figure', 'FigureCanvasBase', 'FixedFormatter', 'FixedLocator', 'FormatStrFormatter', 'Formatter', 'FuncFormatter', 'GridSpec', 'IndexLocator', 'Line2D', 'LinearLocator', 'Locator', 'LogFormatter', 'LogFormatterExponent', 'LogFormatterMathtext', 'LogLocator', 'MaxNLocator', 'MultipleLocator', 'Normalize', 'NullFormatter', 'NullLocator', 'Number', 'PolarAxes', 'Polygon', 'Rectangle', 'ScalarFormatter', 'Slider', 'Subplot', 'SubplotTool', 'Text', 'TickHelper', 'Widget', '_INSTALL_FIG_OBSERVER', '_IP_REGISTERED', '__builtins__', '__cached__', '__doc__', '__file__', '__loader__', '__name__', '__package__', '__spec__', '_auto_draw_if_interactive', '_backend_mod', '_get_running_interactive_framework', '_interactive_bk', '_log', '_pylab_helpers', '_setp', '_setup_pyplot_info_docstrings', '_show', 'acorr', 'angle_spectrum', 'annotate', 'arrow', 'autoscale', 'autumn', 'axes', 'axhline', 'axhspan', 'axis', 'axvline', 'axvspan', 'bar', 'barbs', 'barh', 'bone', 'box', 'boxplot', 'broken_barh', 'cbook', 'cla', 'clabel', 'clf', 'clim', 'close', 'cm', 'cohere', 'colorbar', 'colormaps', 'connect', 'contour', 'contourf', 'cool', 'copper', 'csd', 'cycler', 'dedent', 'delaxes', 'deprecated', 'disconnect', 'docstring', 'draw', 'draw_all', 'draw_if_interactive', 'errorbar', 'eventplot', 'figaspect', 'figimage', 'figlegend', 'fignum_exists', 'figtext', 'figure', 'fill', 'fill_between', 'fill_betweenx', 'findobj', 'flag', 'functools', 'gca', 'gcf', 'gci', 'get', 'get_backend', 'get_cmap', 'get_current_fig_manager', 'get_figlabels', 'get_fignums', 'get_plot_commands', 'get_scale_docs', 'get_scale_names', 'getp', 'ginput', 'gray', 'grid', 'hexbin', 'hist', 'hist2d', 'hlines', 'hot', 'hsv', 'importlib', 'imread', 'imsave', 'imshow', 'inferno', 'inspect', 'install_repl_displayhook', 'interactive', 'ioff', 'ion', 'isinteractive', 'jet', 'legend', 'locator_params', 'logging', 'loglog', 'magma', 'magnitude_spectrum', 'margins', 'matplotlib', 'matshow', 'minorticks_off', 'minorticks_on', 'mlab', 'new_figure_manager', 'nipy_spectral', 'np', 'pause', 'pcolor', 'pcolormesh', 'phase_spectrum', 'pie', 'pink', 'plasma', 'plot', 'plot_date', 'plotfile', 'plotting', 'polar', 'prism', 'psd', 'pylab_setup', 'quiver', 'quiverkey', 'rc', 'rcParams', 'rcParamsDefault', 'rcParamsOrig', 'rc_context', 'rcdefaults', 'rcsetup', 're', 'register_cmap', 'rgrids', 'savefig', 'sca', 'scatter', 'sci', 'semilogx', 'semilogy', 'set_cmap', 'set_loglevel', 'setp', 'show', 'silent_list', 'specgram', 'spring', 'spy', 'stackplot', 'stem', 'step', 'streamplot', 'style', 'subplot', 'subplot2grid', 'subplot_tool', 'subplots', 'subplots_adjust', 'summer', 'suptitle', 'switch_backend', 'sys', 'table', 'text', 'thetagrids', 'tick_params', 'ticklabel_format', 'tight_layout', 'time', 'title', 'tricontour', 'tricontourf', 'tripcolor', 'triplot', 'twinx', 'twiny', 'uninstall_repl_displayhook', 'violinplot', 'viridis', 'vlines', 'waitforbuttonpress', 'warn_deprecated', 'winter', 'xcorr', 'xkcd', 'xlabel', 'xlim', 'xscale', 'xticks', 'ylabel', 'ylim', 'yscale', 'yticks']\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "list_plt_names = dir(plt)\n", @@ -95,15 +80,8 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:50.197994Z", - "iopub.status.busy": "2021-09-23T10:11:50.197024Z", - "iopub.status.idle": "2021-09-23T10:11:50.199228Z", - "shell.execute_reply": "2021-09-23T10:11:50.200046Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import os\n", @@ -124,29 +102,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:50.207541Z", - "iopub.status.busy": "2021-09-23T10:11:50.206735Z", - "iopub.status.idle": "2021-09-23T10:11:50.429741Z", - "shell.execute_reply": "2021-09-23T10:11:50.430490Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "t = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n", "f_cos = np.cos(t)\n", @@ -167,29 +125,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:50.448264Z", - "iopub.status.busy": "2021-09-23T10:11:50.445420Z", - "iopub.status.idle": "2021-09-23T10:11:50.897032Z", - "shell.execute_reply": "2021-09-23T10:11:50.897829Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "A = np.arange(5*5).reshape(5, 5)\n", "\n", @@ -348,29 +246,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:52.638305Z", - "iopub.status.busy": "2021-09-23T10:11:52.637456Z", - "iopub.status.idle": "2021-09-23T10:11:53.665807Z", - "shell.execute_reply": "2021-09-23T10:11:53.666646Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "X, Y = np.meshgrid(np.arange(-2, 3.1, 0.1), np.arange(-1, 2.1, 0.1))\n", "A = np.sin(X*3) * np.cos(Y*3) * np.exp(-Y**2)\n", @@ -416,29 +294,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:53.673226Z", - "iopub.status.busy": "2021-09-23T10:11:53.672553Z", - "iopub.status.idle": "2021-09-23T10:11:54.041407Z", - "shell.execute_reply": "2021-09-23T10:11:54.042057Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "\n", @@ -447,7 +305,7 @@ "A[10, 15] = 1.2\n", "\n", "fig = plt.figure(figsize=(10, 6))\n", - "ax = fig.gca(projection='3d')\n", + "ax = fig.add_subplot(projection = '3d')\n", "ax.plot_surface(X, Y, A, cmap='coolwarm');" ] }, @@ -460,15 +318,8 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:54.048309Z", - "iopub.status.busy": "2021-09-23T10:11:54.047136Z", - "iopub.status.idle": "2021-09-23T10:11:54.052393Z", - "shell.execute_reply": "2021-09-23T10:11:54.053061Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.vis\n", @@ -495,15 +346,8 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:54.057406Z", - "iopub.status.busy": "2021-09-23T10:11:54.056505Z", - "iopub.status.idle": "2021-09-23T10:11:54.058817Z", - "shell.execute_reply": "2021-09-23T10:11:54.059504Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -513,65 +357,9 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:54.070086Z", - "iopub.status.busy": "2021-09-23T10:11:54.069210Z", - "iopub.status.idle": "2021-09-23T10:11:55.322307Z", - "shell.execute_reply": "2021-09-23T10:11:55.323034Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.vis.exercise_vis1D(show_result=show_result)" ] @@ -593,15 +381,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:55.328684Z", - "iopub.status.busy": "2021-09-23T10:11:55.327894Z", - "iopub.status.idle": "2021-09-23T10:11:55.330211Z", - "shell.execute_reply": "2021-09-23T10:11:55.331023Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -611,29 +392,9 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:55.340202Z", - "iopub.status.busy": "2021-09-23T10:11:55.338571Z", - "iopub.status.idle": "2021-09-23T10:11:55.900754Z", - "shell.execute_reply": "2021-09-23T10:11:55.901459Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.vis.exercise_circle(show_result=show_result)" ] @@ -651,15 +412,8 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:55.907065Z", - "iopub.status.busy": "2021-09-23T10:11:55.906135Z", - "iopub.status.idle": "2021-09-23T10:11:55.908570Z", - "shell.execute_reply": "2021-09-23T10:11:55.909261Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -669,29 +423,9 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:55.924044Z", - "iopub.status.busy": "2021-09-23T10:11:55.922552Z", - "iopub.status.idle": "2021-09-23T10:11:57.579022Z", - "shell.execute_reply": "2021-09-23T10:11:57.579728Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.vis.exercise_logaxis(show_result=show_result)" ] @@ -740,15 +474,8 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:57.585470Z", - "iopub.status.busy": "2021-09-23T10:11:57.583900Z", - "iopub.status.idle": "2021-09-23T10:11:57.586812Z", - "shell.execute_reply": "2021-09-23T10:11:57.587524Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -758,41 +485,9 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:57.592074Z", - "iopub.status.busy": "2021-09-23T10:11:57.591157Z", - "iopub.status.idle": "2021-09-23T10:11:58.360156Z", - "shell.execute_reply": "2021-09-23T10:11:58.360967Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.vis.exercise_plot3d(show_result=show_result)" ] @@ -822,15 +517,8 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:58.366603Z", - "iopub.status.busy": "2021-09-23T10:11:58.365589Z", - "iopub.status.idle": "2021-09-23T10:11:58.367968Z", - "shell.execute_reply": "2021-09-23T10:11:58.368699Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -840,36 +528,9 @@ }, { "cell_type": "code", - "execution_count": 19, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:58.374856Z", - "iopub.status.busy": "2021-09-23T10:11:58.374087Z", - "iopub.status.idle": "2021-09-23T10:11:59.767174Z", - "shell.execute_reply": "2021-09-23T10:11:59.767949Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Size of image array (pixels, pixels, channels): (274, 400, 3)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.vis.exercise_erlangen(show_result=show_result)" ] @@ -887,7 +548,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -901,7 +562,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/PCP_06_complex.html b/PCP_06_complex.html index 00f2876..1592320 100644 --- a/PCP_06_complex.html +++ b/PCP_06_complex.html @@ -1,16 +1,90 @@ - - - -PCP_06_complex - - - - - + + + +PCP_06_complex + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
    -
    - +
    +
    +
    -PCP Teaser +PCP Teaser
    @@ -13091,15 +13097,15 @@
    -

    Unit 6: Complex Numbers

    @@ -13107,14 +13113,11 @@

    Unit 6: Complex Numbers
    -

    +

    Overview and Learning Objectives

    - -As often in mathematics, transferring a problem from the real into the complex world can lead to significant simplifications. At first sight, this may seem a bit surprising since complex numbers are more difficult to understand than real numbers. As an application of complex numbers, let us consider the problem of finding solutions to polynomial equations. The equation $z^2-1=0$ has the two solutions $z=+1$ and $z=-1$ while the equation $z^2+1=0$ does not have any solution when only considering real numbers. Extending $\mathbb{R}$ (the space of real numbers) to $\mathbb{C}$ (the space of complex numbers), however, one also finds for the second equation two solutions given by $z=+i$ and $z=-i$, where $i$ denotes the complex unit. In other words, considering polynomial equations over $\mathbb{C}$ (rather than $\mathbb{R}$) makes the problem much easier to understand. In general, an extension of the real numbers to the complex numbers not only gives a broader view but also provides additional tools and structures. We will encounter another application for complex numbers in Unit 7, where we study a complex extension of the exponential function and its relation to trigonometric identities. - -In this unit, we review the basic properties of complex numbers. In particular, we provide Python code examples for visualizing complex numbers using either Cartesian coordinates or polar coordinates. Such visualizations, while being a nice application of the library `matplotlib` introduced in Unit 5, should help you gain a geometric understanding of complex numbers and the effect of their algebraic operations. In Exercise 1, you will apply previously introduced Python code to rotate complex numbers and visualize the effect. Then, in Exercise 2, we address the problem of finding the roots of a given polynomial using the NumPy function np.roots. The roots' visualizations will give you a feeling of how the roots distribute in the complex plane depending on the polynomials' coefficients. As another application of complex numbers, we discuss in Exercise 3 how to generate the Mandelbrot set, which is a famous and one of the most beautiful examples for a fractal set. When going through this unit, we recommend that you do the first two exercises while the third exercise is left as a playground for exploring the beauty of fractals and the power of visualizations (e.g., tweaking around with color maps). - +

    As often in mathematics, transferring a problem from the real into the complex world can lead to significant simplifications. At first sight, this may seem a bit surprising since complex numbers are more difficult to understand than real numbers. As an application of complex numbers, let us consider the problem of finding solutions to polynomial equations. The equation $z^2-1=0$ has the two solutions $z=+1$ and $z=-1$ while the equation $z^2+1=0$ does not have any solution when only considering real numbers. Extending $\mathbb{R}$ (the space of real numbers) to $\mathbb{C}$ (the space of complex numbers), however, one also finds for the second equation two solutions given by $z=+i$ and $z=-i$, where $i$ denotes the complex unit. In other words, considering polynomial equations over $\mathbb{C}$ (rather than $\mathbb{R}$) makes the problem much easier to understand. In general, an extension of the real numbers to the complex numbers not only gives a broader view but also provides additional tools and structures. We will encounter another application for complex numbers in Unit 7, where we study a complex extension of the exponential function and its relation to trigonometric identities.

    +

    In this unit, we review the basic properties of complex numbers. In particular, we provide Python code examples for visualizing complex numbers using either Cartesian coordinates or polar coordinates. Such visualizations, while being a nice application of the library matplotlib introduced in Unit 5, should help you gain a geometric understanding of complex numbers and the effect of their algebraic operations. In Exercise 1, you will apply previously introduced Python code to rotate complex numbers and visualize the effect. Then, in Exercise 2, we address the problem of finding the roots of a given polynomial using the NumPy function np.roots. The roots' visualizations will give you a feeling of how the roots distribute in the complex plane depending on the polynomials' coefficients. As another application of complex numbers, we discuss in Exercise 3 how to generate the Mandelbrot set, which is a famous and one of the most beautiful examples for a fractal set. When going through this unit, we recommend that you do the first two exercises while the third exercise is left as a playground for exploring the beauty of fractals and the power of visualizations (e.g., tweaking around with color maps).

    @@ -13122,91 +13125,71 @@

    Overview and Learning Objectives

    -

    -

    Basic Definitions

    We can write a complex number $c = a + ib$ with real part $\mathrm{Re}(c) = a$, imaginary part $\mathrm{Im}(c) = b$, and imaginary unit $i = \sqrt{-1}$. In Python, the symbol j is used to denote the imaginary unit. Furthermore, a coefficient before j is needed. To specify a complex number, one can also use the constructor complex.

    - +

    +

    Basic Definitions

    We can write a complex number $c = a + ib$ with real part $\mathrm{Re}(c) = a$, imaginary part $\mathrm{Im}(c) = b$, and imaginary unit $i = \sqrt{-1}$. In Python, the symbol j is used to denote the imaginary unit. Furthermore, a coefficient before j is needed. To specify a complex number, one can also use the constructor complex.

    -
    In [1]:
    +
    In [1]:
    -
    -
    a = 1.5
+
    
+
    a = 1.5
 b = 0.8
 c = a + b*1j
-print('c  = ', c, ', type(c)  = ', type(c))
+print('c  = ', c, ', type(c)  = ', type(c))
 c2 = complex(a,b)
-print('c2 = ', c2, ', type(c2) = ', type(c2))
+print('c2 = ', c2, ', type(c2) = ', type(c2))
 
    
-
-
    - +
    - -
    - -
    - - +
    -
    c  =  (1.5+0.8j) , type(c)  =  <class 'complex'>
-c2 =  (1.5+0.8j) , type(c2) =  <class 'complex'>
+
    c  =  (1.5+0.8j) , type(c)  =  <class 'complex'>
+c2 =  (1.5+0.8j) , type(c2) =  <class 'complex'>
    -
    -

    Python offers the built-in math package for basic processing of complex numbers. As an alternative, we use here the external package numpy, which was introduced in the PCP notebook on NumPy Basics.

    -
    -
    In [2]:
    +
    In [2]:
    -
    -
    import numpy as np
+
    
+
    import numpy as np
 
 print(np.real(c))
 print(np.imag(c))
 
    
-
-
    - +
    - -
    - -
    - - +
    1.5
 0.8
    -
    -
    @@ -13214,23 +13197,22 @@

    Basic Definitions
    -
    In [3]:
    +
    In [3]:
    -
    -
    from matplotlib import pyplot as plt
+
    
+
    from matplotlib import pyplot as plt
 %matplotlib inline
 
 def generate_figure(figsize=(2, 2), xlim=[0, 1], ylim=[0, 1]):
-    """Generate figure for plotting complex numbers
+    """Generate figure for plotting complex numbers
 
     Notebook: PCP_06_complex.ipynb
 
@@ -13238,28 +13220,28 @@ 
    Basic Definitions       figsize: Width, height in inches (Default value = (2, 2))
        xlim: Limits for x-axis (Default value = [0, 1])
        ylim: Limits for y-axis (Default value = [0, 1])
-    """
+    """
     plt.figure(figsize=figsize)
     plt.grid()
     plt.xlim(xlim)
     plt.ylim(ylim)
-    plt.xlabel('$\mathrm{Re}$')
-    plt.ylabel('$\mathrm{Im}$')
+    plt.xlabel('$\mathrm{Re}$')
+    plt.ylabel('$\mathrm{Im}$')
 
-def plot_vector(c, color='k', start=0, linestyle='-'):
-    """Plot arrow corresponding to difference of two complex numbers
+def plot_vector(c, color='k', start=0, linestyle='-'):
+    """Plot arrow corresponding to difference of two complex numbers
 
     Notebook: PCP_06_complex.ipynb
 
     Args:
         c: Complex number
-        color: Color of arrow (Default value = 'k')
+        color: Color of arrow (Default value = 'k')
         start: Complex number encoding the start position (Default value = 0)
-        linestyle: Linestyle of arrow (Default value = '-')
+        linestyle: Linestyle of arrow (Default value = '-')
 
     Returns:
         plt.arrow: matplotlib.patches.FancyArrow
-    """
+    """
     return plt.arrow(np.real(start), np.imag(start), np.real(c), np.imag(c),
                      linestyle=linestyle, head_width=0.05,
                      fc=color, ec=color, overhang=0.3, length_includes_head=True)
@@ -13268,83 +13250,65 @@ 
    Basic Definitionsc = 1.5 + 0.8j
 
 generate_figure(figsize=(7.5, 3), xlim=[0, 2.5], ylim=[0, 1])
-v = plot_vector(c, color='k')
-plt.text(1.5, 0.8, '$c$', size='16')
-plt.text(0.8, 0.55, '$|c|$', size='16')
-plt.text(0.25, 0.05, '$\gamma$', size='16');
+v = plot_vector(c, color='k')
+plt.text(1.5, 0.8, '$c$', size='16')
+plt.text(0.8, 0.55, '$|c|$', size='16')
+plt.text(0.25, 0.05, '$\gamma$', size='16');
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    -

    -

    Polar Representation

    The absolute value (or modulus) of a complex number $a+ib$ is defined by

    -$$|c| := \sqrt{a^2 + b^2}.$$

    The angle (given in radians) is given by

    -$$\gamma := \mathrm{atan2}(b, a).$$

    This yields a number in the interval $(-\pi,\pi]$, which can be mapped to $[0,2\pi)$ by adding $2\pi$ to negative values. The angle (given in degrees) is obtained by

    -$$360 \cdot \frac{\gamma}{2\pi}.$$

    The complex number $c=a+ib$ is uniquely defined by the pair $(|c|, \gamma)$, which is also called the polar representation of $c$. One obtains the Cartesian representation $(a,b)$ from the polar representation $(|c|,\gamma)$ as follows:

    -\begin{eqnarray} +

    +

    Polar Representation

    The absolute value (or modulus) of a complex number $a+ib$ is defined by

    +

    $$|c| := \sqrt{a^2 + b^2}.$$

    +

    The angle (given in radians) is given by

    +

    $$\gamma := \mathrm{atan2}(b, a).$$

    +

    This yields a number in the interval $(-\pi,\pi]$, which can be mapped to $[0,2\pi)$ by adding $2\pi$ to negative values. The angle (given in degrees) is obtained by

    +

    $$360 \cdot \frac{\gamma}{2\pi}.$$

    +

    The complex number $c=a+ib$ is uniquely defined by the pair $(|c|, \gamma)$, which is also called the polar representation of $c$. One obtains the Cartesian representation $(a,b)$ from the polar representation $(|c|,\gamma)$ as follows:

    +

    \begin{eqnarray} a &=& |c| \cdot \cos(\gamma) \\ b &=& |c| \cdot \sin(\gamma) -\end{eqnarray}

    In the following code cell, we introduce some NumPy-functions for computing the absolute values and angle of a complex number.

    - +\end{eqnarray}

    +

    In the following code cell, we introduce some NumPy-functions for computing the absolute values and angle of a complex number.

    -
    In [4]:
    +
    In [4]:
    -
    -
    c = 1.5 + 0.8j
-print('c = :', c)
-print('Absolute value:', np.abs(c))
-print('Angle (in radians):', np.angle(c))
-print('Angle (in degree):', np.rad2deg(np.angle(c)))
-print('Angle (in degree):', 180 * np.angle(c) / np.pi )
-print(f'Cartesian representation: ({np.real(c)}, {np.imag(c)})') 
-print(f'Polar representation: ({np.abs(c)}, {np.angle(c)})') 
+
    
+
    c = 1.5 + 0.8j
+print('c = :', c)
+print('Absolute value:', np.abs(c))
+print('Angle (in radians):', np.angle(c))
+print('Angle (in degree):', np.rad2deg(np.angle(c)))
+print('Angle (in degree):', 180 * np.angle(c) / np.pi )
+print(f'Cartesian representation: ({np.real(c)}, {np.imag(c)})') 
+print(f'Polar representation: ({np.abs(c)}, {np.angle(c)})') 
 
    
-
-
    - +
    - -
    - -
    - - +
    c = : (1.5+0.8j)
 Absolute value: 1.7
@@ -13356,181 +13320,138 @@ 
    Polar Representation
    
 
    
 
    
-
    
-
    Complex Operations
    For two complex numbers  $c_1=a_1+ib_1$ and $c_2=a_2+ib_2$, the sum
    
-$$
+
    
+
    Complex Operations
    For two complex numbers  $c_1=a_1+ib_1$ and $c_2=a_2+ib_2$, the sum
    
+
    $$
 c_1 + c_2 = (a_1 + ib_1) + (a_2 + ib_2) := (a_1 + a_2) + i(b_1 + b_2) 
-$$
    is defined by summing their real and imaginary parts individually. The geometric intuition of addition can be visualized by a parallelogram:
    
-
+$$
    
+
    is defined by summing their real and imaginary parts individually. The geometric intuition of addition can be visualized by a parallelogram:
    -
    In [5]:
    +
    In [5]:
    -
    -
    c1 = 1.3 - 0.3j
+
    
+
    c1 = 1.3 - 0.3j
 c2 = 0.3 + 0.5j
 c = c1 + c2
 
 generate_figure(figsize=(7.5, 3), xlim=[-0.3, 2.2], ylim=[-0.4, 0.6])
-v1 = plot_vector(c1, color='k')
-v2 = plot_vector(c2, color='b')
-plot_vector(c1, start=c2, linestyle=':', color='lightgray')
-plot_vector(c2, start=c1, linestyle=':', color='lightgray')
-v3 = plot_vector(c, color='r')
+v1 = plot_vector(c1, color='k')
+v2 = plot_vector(c2, color='b')
+plot_vector(c1, start=c2, linestyle=':', color='lightgray')
+plot_vector(c2, start=c1, linestyle=':', color='lightgray')
+v3 = plot_vector(c, color='r')
 
-plt.legend([v1, v2, v3], ['$c_1$', '$c_2$', '$c_1+c_2$']);
+plt.legend([v1, v2, v3], ['$c_1$', '$c_2$', '$c_1+c_2$']);
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -

    Complex multiplication of two numbers $c_1=a_1+ib_1$ and $c_2=a_2+ib_2$ is defined by:

    -$$c = c_1 \cdot c_2 = (a_1 + ib_1) \cdot (a_2 + ib_2) := (a_1a_2 - b_1b_2) + i(a_1b_2 + b_1a_2).$$

    Geometrically, the product is obtained by adding angles and by multiplying the absolute values. In other words, if $(|c_1|, \gamma_1)$ and $(|c_2|, \gamma_2)$ are the polar representations of $c_1$ and $c_1$, respectively, then the polar representation $(|c|, \gamma)$ of $c$ is given by:

    -\begin{eqnarray} +

    $$c = c_1 \cdot c_2 = (a_1 + ib_1) \cdot (a_2 + ib_2) := (a_1a_2 - b_1b_2) + i(a_1b_2 + b_1a_2).$$

    +

    Geometrically, the product is obtained by adding angles and by multiplying the absolute values. In other words, if $(|c_1|, \gamma_1)$ and $(|c_2|, \gamma_2)$ are the polar representations of $c_1$ and $c_1$, respectively, then the polar representation $(|c|, \gamma)$ of $c$ is given by:

    +

    \begin{eqnarray} \gamma &=& \gamma_1 + \gamma_2 \\ |c| &=& |c_1| \cdot |c_2| -\end{eqnarray} +\end{eqnarray}

    -
    In [6]:
    +
    In [6]:
    -
    -
    c1 = 1.0 - 0.5j
+
    
+
    c1 = 1.0 - 0.5j
 c2 = 2.3 + 0.7j
 c = c1 * c2
 
 generate_figure(figsize=(7.5, 3), xlim=[-0.5, 4.0], ylim=[-0.75, 0.75])
-v1 = plot_vector(c1, color='k')
-v2 = plot_vector(c2, color='b')
-v3 = plot_vector(c, color='r')
-plt.legend([v1, v2, v3], ['$c_1$', '$c_2$', '$c_1 \cdot c_2$']);
+v1 = plot_vector(c1, color='k')
+v2 = plot_vector(c2, color='b')
+v3 = plot_vector(c, color='r')
+plt.legend([v1, v2, v3], ['$c_1$', '$c_2$', '$c_1 \cdot c_2$']);
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -

    Given a complex number $c = a + bi$, the complex conjugation is defined by $\overline{c} := a - bi$. Many computations can be expressed in a more compact form using the complex conjugate. The following identities hold: As for the real and imaginary part as well as the absolute value, one has:

    -\begin{eqnarray} +

    \begin{eqnarray} a &=& \frac{1}{2} (c+\overline{c}) \\ b &=& \frac{1}{2i} (c-\overline{c}) \\ |c|^2 &=& c\cdot \overline{c}\\ \overline{c_1+c_2} &=& \overline{c_1} + \overline{c_2}\\ \overline{c_1\cdot c_2} &=& \overline{c_1} \cdot \overline{c_2} -\end{eqnarray}

    Geometrically, conjugation is reflection on the real axis.

    - +\end{eqnarray}

    +

    Geometrically, conjugation is reflection on the real axis.

    -
    In [7]:
    +
    In [7]:
    -
    -
    c = 1.5 + 0.4j
+
    
+
    c = 1.5 + 0.4j
 c_conj = np.conj(c)
 
 generate_figure(figsize=(7.5, 3), xlim=[0, 2.5], ylim=[-0.5, 0.5])
-v1 = plot_vector(c, color='k')
-v2 = plot_vector(c_conj, color='r')
+v1 = plot_vector(c, color='k')
+v2 = plot_vector(c_conj, color='r')
 
-plt.legend([v1, v2], ['$c$', r'$\overline{c}$']);
+plt.legend([v1, v2], ['$c$', r'$\overline{c}$']);
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    @@ -13545,135 +13466,104 @@

    Complex Operations

    For a non-zero complex number $c = a + bi$, there is an inverse complex number $c^{-1}$ with the property that $c\cdot c^{-1} = 1$. The inverse is given by:

    -$$c^{-1} := \frac{a}{a^2 + b^2} + i \frac{-b}{a^2 + b^2} = \frac{a}{|c|^2} + i \frac{-b}{|c|^2} = \frac{\overline{c}}{|c|^2}.$$ +

    $$c^{-1} := \frac{a}{a^2 + b^2} + i \frac{-b}{a^2 + b^2} = \frac{a}{|c|^2} + i \frac{-b}{|c|^2} = \frac{\overline{c}}{|c|^2}.$$

    -
    In [ ]:
    +
    In [ ]:
    -
    -
     
+
    
+
     
 
    
-
-
    - +
    -
    In [8]:
    +
    In [8]:
    -
    -
    c = 1.5 + 0.4j
+
    
+
    c = 1.5 + 0.4j
 c_inv = 1 / c
 c_prod = c * c_inv
 
 generate_figure(figsize=(7.5, 3), xlim=[-0.3, 2.2], ylim=[-0.5, 0.5])
-v1 = plot_vector(c, color='k')
-v2 = plot_vector(c_inv, color='r')
-v3 = plot_vector(c_prod, color='gray')
+v1 = plot_vector(c, color='k')
+v2 = plot_vector(c_inv, color='r')
+v3 = plot_vector(c_prod, color='gray')
 
-plt.legend([v1, v2, v3], ['$c$', '$c^{-1}$', '$c*c^{-1}$']);
+plt.legend([v1, v2, v3], ['$c$', '$c^{-1}$', '$c*c^{-1}$']);
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -

    With the inverse, division can be defined:

    -$$\frac{c_1}{c_2} = c_1 c_2^{-1} = \frac{a_1 + ib_1}{a_2 + ib_2} := \frac{a_1a_2 + b_1b_2}{a_2^2 + b_2^2} + i\frac{b_1a_2 - a_1b_2}{a_2^2 + b_2^2} = \frac{c_1\cdot \overline{c_2}}{|c_2|^2}.$$ +

    $$\frac{c_1}{c_2} = c_1 c_2^{-1} = \frac{a_1 + ib_1}{a_2 + ib_2} := \frac{a_1a_2 + b_1b_2}{a_2^2 + b_2^2} + i\frac{b_1a_2 - a_1b_2}{a_2^2 + b_2^2} = \frac{c_1\cdot \overline{c_2}}{|c_2|^2}.$$

    -
    In [9]:
    +
    In [9]:
    -
    -
    c1 = 1.3 + 0.3j
+
    
+
    c1 = 1.3 + 0.3j
 c2 = 0.8 + 0.4j
 c = c1 / c2
 
 generate_figure(figsize=(7.5, 3), xlim=[-0.25, 2.25], ylim=[-0.5, 0.5])
-v1 = plot_vector(c1, color='k')
-v2 = plot_vector(c2, color='b')
-v3 = plot_vector(c, color='r')
+v1 = plot_vector(c1, color='k')
+v2 = plot_vector(c2, color='b')
+v3 = plot_vector(c, color='r')
 
-plt.legend([v1, v2, v3], ['$c_1$', '$c_2$', '$c_1/c_2$']);
+plt.legend([v1, v2, v3], ['$c_1$', '$c_2$', '$c_1/c_2$']);
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    -

    -

    Polar Coordinate Plot

    Finally, we show how complex vectors can be visualized in a polar coordinate plot. Also, the following code cell illustrates some functionalities of the Python libraries numpy and matplotlib.

    - +

    +

    Polar Coordinate Plot

    Finally, we show how complex vectors can be visualized in a polar coordinate plot. Also, the following code cell illustrates some functionalities of the Python libraries numpy and matplotlib.

    -
    In [10]:
    +
    In [10]:
    -
    -
    def plot_polar_vector(c, label=None, color=None, start=0, linestyle='-'):
-    """Plot arrow in polar plot
+
    
+
    def plot_polar_vector(c, label=None, color=None, start=0, linestyle='-'):
+    """Plot arrow in polar plot
 
     Notebook: PCP_06_complex.ipynb
 
@@ -13682,15 +13572,15 @@ 
    Polar Coordinate Plot        label: Label of arrow (Default value = None)
         color: Color of arrow (Default value = None)
         start: Complex number encoding the start position (Default value = 0)
-        linestyle: Linestyle of arrow (Default value = '-')
-    """
+        linestyle: Linestyle of arrow (Default value = '-')
+    """
     # plot line in polar plane
     line = plt.polar([np.angle(start), np.angle(c)], [np.abs(start), np.abs(c)], label=label,
                      color=color, linestyle=linestyle)
     # plot arrow in same color
     this_color = line[0].get_color() if color is None else color
-    plt.annotate('', xytext=(np.angle(start), np.abs(start)), xy=(np.angle(c), np.abs(c)),
-                 arrowprops=dict(facecolor=this_color, edgecolor='none',
+    plt.annotate('', xytext=(np.angle(start), np.abs(start)), xy=(np.angle(c), np.abs(c)),
+                 arrowprops=dict(facecolor=this_color, edgecolor='none',
                                  headlength=12, headwidth=10, shrink=1, width=0))
     
 c_abs = 1.5
@@ -13702,379 +13592,270 @@ 
    Polar Coordinate Plotc2 = -0.5 + 0.75*1j
 
 plt.figure(figsize=(6, 6))
-plot_polar_vector(c1, label='$c_1$', color='k')
-plot_polar_vector(np.conj(c1), label='$\overline{c}_1$', color='gray')
-plot_polar_vector(c2, label='$c_2$', color='b')
-plot_polar_vector(c1*c2, label='$c_1\cdot c_2$', color='r')
-plot_polar_vector(c1/c2, label='$c_1/c_2$', color='g')
+plot_polar_vector(c1, label='$c_1$', color='k')
+plot_polar_vector(np.conj(c1), label='$\overline{c}_1$', color='gray')
+plot_polar_vector(c2, label='$c_2$', color='b')
+plot_polar_vector(c1*c2, label='$c_1\cdot c_2$', color='r')
+plot_polar_vector(c1/c2, label='$c_1/c_2$', color='g')
 
 plt.ylim([0, 1.8]);
 plt.legend(framealpha=1);
 
    
-
-
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    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    -

    Exercises and Results

    +

    Exercises and Results

    -
    In [11]:
    +
    In [11]:
    -
    -
    import libpcp.complex
+
    
+
    import libpcp.complex
 show_result = True
 
    
-
-
    - +
    -

    +

    -Exercise 1: Rotate Complex Number
    +Exercise 1: Rotate Complex Number
    Create and plot the following complex numbers using the functions described above.
      -
    • Create a complex number $c$ with an angle of $20$ degrees and an absolute value of $1.2$. Also plot its conjugate and inverse.
      • -
    • Write a function rotate_complex that rotates a complex number $c$ by $r$ degrees in clockwise direction. Apply this function for $c= 1 + 0.5i$ and $r\in\{10,20, 30\}$. Plot all resulting complex numbers.
      • -
    +
  • Create a complex number $c$ with an angle of $20$ degrees and an absolute value of $1.2$. Also plot its conjugate and inverse.
    • +
  • Write a function rotate_complex that rotates a complex number $c$ by $r$ degrees in clockwise direction. Apply this function for $c= 1 + 0.5i$ and $r\in\{10,20, 30\}$. Plot all resulting complex numbers.
    • +
    -
    In [12]:
    +
    In [12]:
    -
    -
    #<solution>
+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
-
-
    - +
    -
    In [13]:
    +
    In [13]:
    -
    -
    libpcp.complex.exercise_complex(show_result=show_result)
+
    
+
    libpcp.complex.exercise_complex(show_result=show_result)
 
    
-
-
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    - -
    - -
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    - +
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    +No description has been provided for this image
    -
    -
    -
    -

    +

    -Exercise 2: Roots of Polynomial
    +Exercise 2: Roots of Polynomial
    Let $p(z)= p_0 z^N + p_1 z^{N-1} + \ldots + p_{N-1}z + p_N$ be a complex-valued polynomial of degree $N\in\mathbb{N}$ with coefficients $p_n\in\mathbb{C}$ for $n\in[0:N]$. Define a function vis_root that inputs a polynomial and visualizes all roots of the polynomial (i.e., all zeros of the polynomial). To compute the roots, use the NumPy function np.roots. To encode the polynomial follow the conventions as used for np.roots, where the above polynomial is represented by the array (p[0],p[1], ..., p[N]). For the visualization, use the function plt.scatter for representing each root as a dot in the Cartesian plane. Apply the function for the following polynomials and discuss the results.
      -
    • $p(z)=z^2-2$ (p = np.array([1, 0, -2]))
      • -
    • $p(z)=z^2+2$ (p = np.array([1, 0, 2]))
      • -
    • $p(z)=z^8-1$ (p = np.array([1, 0, 0, 0, 0, 0, 0, 0, -1]))
      • -
    • $p(z)=z^8 + z^7 + z^6$ (p = np.array([1, 1, 1, 0, 0, 0, 0, 0, 0]))
      • -
    • $p(z)=z^8 + z^7 + z^6 + 0.000001$ (p = np.array([1, 1, 1, 0, 0, 0, 0, 0, 0.000001]))
      • -
    • $p(z)=z^3 -2iz^2 + (2+4i)z + 3 $ (p = np.array([1, -2j, 2 + 4j, 3]))
      • -
    +
  • $p(z)=z^2-2$ (p = np.array([1, 0, -2]))
    • +
  • $p(z)=z^2+2$ (p = np.array([1, 0, 2]))
    • +
  • $p(z)=z^8-1$ (p = np.array([1, 0, 0, 0, 0, 0, 0, 0, -1]))
    • +
  • $p(z)=z^8 + z^7 + z^6$ (p = np.array([1, 1, 1, 0, 0, 0, 0, 0, 0]))
    • +
  • $p(z)=z^8 + z^7 + z^6 + 0.000001$ (p = np.array([1, 1, 1, 0, 0, 0, 0, 0, 0.000001]))
    • +
  • $p(z)=z^3 -2iz^2 + (2+4i)z + 3 $ (p = np.array([1, -2j, 2 + 4j, 3]))
    • +
    -
    In [14]:
    +
    In [14]:
    -
    -
    #<solution>
+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
-
-
    - +
    -
    In [15]:
    +
    In [15]:
    -
    -
    libpcp.complex.exercise_polynomial(show_result=show_result)
+
    
+
    libpcp.complex.exercise_polynomial(show_result=show_result)
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    -Note: As another application of complex numbers, we will consider in the next exercise a construction of a subset of complex numbers known as Mandelbrot set. As noted at Wikipedia, images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications, making the boundary of the Mandelbrot set a fractal curve. The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from applying simple rules. It is one of the best-known examples of mathematical visualization, mathematical beauty, and motif. In practice, one cannot easily compute the Mandelbrot set. Instead, one uses iterative algorithms based on heuristics to find an approximation of the Mandelbrot set, which can then be visualized as a subset of the complex plane. Often the boundary of the Mandelbrot set (the fractal curve) and its outer neighborhood are visualized with a color-coding that expresses divergence properties. This leads to the fascinating images of the Mandelbrot set you may have encountered. On the web, you can find numerous examples of how to approximate the Mandelbrot set and visualize it (e.g., also in an interactive fashion that allows you to zoom into the Mandelbrot set). In the following exercise, we will dive into this topic of fractals and their visualization. But be careful: You may become addicted and get lost in this topic. Don't forget to continue with the other units. +Note: As another application of complex numbers, we will consider in the next exercise a construction of a subset of complex numbers known as Mandelbrot set. As noted at Wikipedia, images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications, making the boundary of the Mandelbrot set a fractal curve. The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from applying simple rules. It is one of the best-known examples of mathematical visualization, mathematical beauty, and motif. In practice, one cannot easily compute the Mandelbrot set. Instead, one uses iterative algorithms based on heuristics to find an approximation of the Mandelbrot set, which can then be visualized as a subset of the complex plane. Often the boundary of the Mandelbrot set (the fractal curve) and its outer neighborhood are visualized with a color-coding that expresses divergence properties. This leads to the fascinating images of the Mandelbrot set you may have encountered. On the web, you can find numerous examples of how to approximate the Mandelbrot set and visualize it (e.g., also in an interactive fashion that allows you to zoom into the Mandelbrot set). In the following exercise, we will dive into this topic of fractals and their visualization. But be careful: You may become addicted and get lost in this topic. Don't forget to continue with the other units.
    -
    In [16]:
    +
    In [16]:
    -
    -
    import IPython.display as ipd
-ipd.display(ipd.YouTubeVideo('b005iHf8Z3g', width=600, height=450))
+
    
+
    import IPython.display as ipd
+ipd.display(ipd.YouTubeVideo('b005iHf8Z3g', width=600, height=450))
 
    
-
-
    - +
    - -
    - -
    - - - -
    - - - +
    +
    +
    -
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    +

    -Exercise 3: Mandelbrot Set
    +Exercise 3: Mandelbrot Set
    Let $c\in\mathbb{C}$ be a complex number and $f_c:\mathbb{C}\to\mathbb{C}$ the function defined by $f_c(z)=z^2+c$ for $z\in\mathbb{C}$. Starting with $z=0$, we consider the iteration $v_c(0):=f_c(0)$ and $v_c(k) := f_c(v_c(k-1))$ for $k\in\mathbb{N}$. The Mandelbrot set is the set of complex numbers $c$ for which the series $(v_c(k))_{k\in\mathbb{N}}$ stays bounded (i.e., if there is a constant $\gamma_c$ such that $v_c(k)\leq \gamma_c$ for all $k\in\mathbb{N}$. Write a function that plots the Mandelbrot set in the Cartesian plane, where a number $c$ is colored black if it belongs to the Mandelbrot set and otherwise is colored white.
      -
    • Model the Mandelbrot set as a binary indicator function $\chi:\mathbb{C}\in\{0,1\}$, where $\chi(c)=1$ if $c$ belongs to the Mandelbrot set and $\chi(c)=0$ otherwise.
      • -
    • Only consider complex numbers $c=a+ib$ on a discrete grid on a bounded range. It suffices to consider the range $a\in[-2,1]$ and $b\in[-1.2,1.2]$. Furthermore, for efficiency reasons, use a grid spacing that is not too fine. First, try out $\Delta a = \Delta b = 0.01$. To create the grid, you may use the function np.meshgrid.
      • -
    • Test for each $c=a+ib$ on that grid, if $(v_c(k))_{k\in\mathbb{N}}$ remains bounded or not. Computationally, this cannot be tested easily. However, usually, the sequence $(v_c(k))$ increases in an exponential fashion in the case that it is not bounded. Therefore, a pragmatic (yet not always correct) test is to fix a maximum number of iterations (e.g., $K = 50$) and a threshold (e.g., $L = 100$). In case that $v_c(K) -
    • Plot $\chi$ using the function np.imshow, use the colormap 'gray_r'. Furthermore, use the parameter extent to adjust ranges of the horizontal axis $[-2,1]$ (real part) and vertical axis $[-1.2,1.2]$ (imaginary part).
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  • Model the Mandelbrot set as a binary indicator function $\chi:\mathbb{C}\in\{0,1\}$, where $\chi(c)=1$ if $c$ belongs to the Mandelbrot set and $\chi(c)=0$ otherwise.
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  • Only consider complex numbers $c=a+ib$ on a discrete grid on a bounded range. It suffices to consider the range $a\in[-2,1]$ and $b\in[-1.2,1.2]$. Furthermore, for efficiency reasons, use a grid spacing that is not too fine. First, try out $\Delta a = \Delta b = 0.01$. To create the grid, you may use the function np.meshgrid.
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  • Test for each $c=a+ib$ on that grid, if $(v_c(k))_{k\in\mathbb{N}}$ remains bounded or not. Computationally, this cannot be tested easily. However, usually, the sequence $(v_c(k))$ increases in an exponential fashion in the case that it is not bounded. Therefore, a pragmatic (yet not always correct) test is to fix a maximum number of iterations (e.g., $K = 50$) and a threshold (e.g., $L = 100$). In case that $v_c(K) +
  • Plot $\chi$ using the function np.imshow, use the colormap 'gray_r'. Furthermore, use the parameter extent to adjust ranges of the horizontal axis $[-2,1]$ (real part) and vertical axis $[-1.2,1.2]$ (imaginary part).
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    #<solution>
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    #<solution>
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    libpcp.complex.exercise_mandelbrot(show_result=show_result)
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    libpcp.complex.exercise_mandelbrot(show_result=show_result)
 
    
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    libpcp.complex.exercise_mandelbrot_fancy(show_result=show_result)
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    libpcp.complex.exercise_mandelbrot_fancy(show_result=show_result)
 
    
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    - - - - diff --git a/PCP_06_complex.ipynb b/PCP_06_complex.ipynb index 330731d..7f0fbda 100644 --- a/PCP_06_complex.ipynb +++ b/PCP_06_complex.ipynb @@ -54,25 +54,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:16.952618Z", - "iopub.status.busy": "2021-09-23T10:12:16.951776Z", - "iopub.status.idle": "2021-09-23T10:12:16.955331Z", - "shell.execute_reply": "2021-09-23T10:12:16.956022Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "c = (1.5+0.8j) , type(c) = \n", - "c2 = (1.5+0.8j) , type(c2) = \n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "a = 1.5\n", "b = 0.8\n", @@ -91,25 +75,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:16.961484Z", - "iopub.status.busy": "2021-09-23T10:12:16.960319Z", - "iopub.status.idle": "2021-09-23T10:12:17.237496Z", - "shell.execute_reply": "2021-09-23T10:12:17.238237Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1.5\n", - "0.8\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "\n", @@ -130,29 +98,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:17.255293Z", - "iopub.status.busy": "2021-09-23T10:12:17.254356Z", - "iopub.status.idle": "2021-09-23T10:12:17.995889Z", - "shell.execute_reply": "2021-09-23T10:12:17.996593Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", @@ -233,30 +181,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:18.004181Z", - "iopub.status.busy": "2021-09-23T10:12:18.003263Z", - "iopub.status.idle": "2021-09-23T10:12:18.007529Z", - "shell.execute_reply": "2021-09-23T10:12:18.008230Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "c = : (1.5+0.8j)\n", - "Absolute value: 1.7\n", - "Angle (in radians): 0.48995732625372834\n", - "Angle (in degree): 28.07248693585296\n", - "Angle (in degree): 28.07248693585296\n", - "Cartesian representation: (1.5, 0.8)\n", - "Polar representation: (1.7, 0.48995732625372834)\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "c = 1.5 + 0.8j\n", "print('c = :', c)\n", @@ -286,29 +213,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:18.021043Z", - "iopub.status.busy": "2021-09-23T10:12:18.018798Z", - "iopub.status.idle": "2021-09-23T10:12:18.271539Z", - "shell.execute_reply": "2021-09-23T10:12:18.272250Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "c1 = 1.3 - 0.3j\n", "c2 = 0.3 + 0.5j\n", @@ -342,29 +249,9 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:18.291900Z", - "iopub.status.busy": "2021-09-23T10:12:18.286034Z", - "iopub.status.idle": "2021-09-23T10:12:18.557526Z", - "shell.execute_reply": "2021-09-23T10:12:18.558319Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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TJk1+nDazNlBVtm/fTkKE79n0vEADPYAsVd0IICIzgcHAjwVaVd8v1v5DIC2qCU21UoUFC9xiFAcOhLe/+CJccIFdTzYmKNLS0sjOzi7X5CAVtX///ogXwEhKSEggLS2ypckPBbol8G2x19kcuXc8Cni9WhOZqFizBi6+GNatC2/75z9h3DiI88OfTGNMhcTHx9OmTZtq2feSJUvo0qVLtezbr8Tr6wUicjHQX1WvCr0eDvRQ1etKadsXeAQ4S1W3l7G/0cBogJSUlG6zi48qCojc3FySkpK8jlEpR8uen++uIe/aFd7WrFl4Xmyv1ORj7ldBzQ3BzR7U3BDc7H379s1U1e6V+rCqevoAzgDeLPZ6AjChlHanAl8A7cu77/bt22sQLV682OsIlVZa9r17Va+/XtWdzHaP/v1Vv/su+vnKUtOOeRAENbdqcLMHNbdqcLMDy7WS9dEPJxKXAe1EpA3wHXApcHnxBiJyHPASMFxVP49+RFNR+fnwyCNw/fXhbe3awQsvwKmnepfLGGOCwvMCrar5InIt8CYQC0xX1TUiMib0/mPAbUAT4JHQyMB8rewpA1NtVN2p6+KDuuLiYN48GDDABnsZY0xF+OI+aFV9TVXbq+oJqjoptO2xUHFGVa9S1Uaq2jn0sOLsIx9/DK1bu2vIWVlu2yOPuF70oUMwcKAVZ2OMqSjPe9AmmLKz3UxeixaFt/3xj9C1q+tJG2OMqRpf9KBNMOzZA7/7nesNt2rlivOFF8KWLa4o//3v1lM2xphIsR60OaJDh+Dee2F8sQlYTzsNZs6EDh28y2WMMTWdFWjzE6pu3utLLw1vS052ayv/4hfe5TLGmNrETnGbH33wAaSmusFeRcX5ySehoAB277bibIwx0WQFupbbuBHOOMNdOz7zTHc9+bbb3EpSqm4gmJczfBljTG1lp7hroR9+cPNdP/tseNsVV8CDD0KjRt7lMsYYE2YFupY4cADuugv+9rfwtl694LnnID3du1zGGGNKZwW6BisshGeecaepizRrBi+/7E5nG2OM8S8r0DXQ4sUweLC7b7nIzJlwySV2n7IxxgSFDf+pIdavd/cni7jR1nv2wOTJcPCgG+w1bJgVZ2OMCRIr0AG2dStcdJErvB06wOrVcNVV7pYoVbjlFoiP9zqlMcaYyrACHTD79rk5r0Xc9eSXXoJzzoFvvnFFeepUN6mIMcaYYCt3gRaR7iLysoh8LCKrReQTEVkdiRAiMkBE1otIloiML+V9EZEHQ++vFpGukfi9QVFQAI8+6opyYiL84x9w/PGQmemK8sKFbm5sY4wxNUdFBok9B/wR+AQojFQAEYkFHgb6AdnAMhGZp6prizUbCLQLPXoCj4Z+1liq8MYb8KtfuQJdZO5ct82uJxtjTM1WkQK9VVXnVUOGHkCWqm4EEJGZwGCgeIEeDDytqgp8KCINRaSFqn5fDXk8tX1THl+t3sWgvnnsIxGABx6AsWMhzsbcG2NMrSFazsV7ReQc4DJgEXCgaLuqvlSlACJDgQGqelXo9XCgp6peW6zNfGCyqr4Xer0IuEVVl5eyv9HAaICUlJRus2fPrkq8qNv53Tbi4gpIys4Ob0xOhqZNoWFD38+7mZubS1JSktcxKiyouSG42YOaG4KbPai5IbjZ+/btm6mq3Svz2Yr0yX4LdADiCZ/iVqBKBRoo7WRtyf81lKeN26j6OPA4wIknnqh9+vSpUjgvvPLKK1x50038Bri+bl0a7dv300a9e7vFmYcM8dWosCVLlhDEYx7U3BDc7EHNDcHNHtTcEOzslVWR7thpqtpdVUeo6m9DjysjkCEbKD7EKQ3IqUSbGiM5OZkvCgvZf8stNN63DwFmz5oFX30Fd9zhRoS9+y785jdQv767IF202sWTT8KuXV5/BWOMMVVUkQL9oYicVA0ZlgHtRKSNiBwDXAqUvNY9D/hNaDR3L2BXTbz+XJyIMHnyZPbu3csJJ5zAsGHDkNat2Xj55eF7qlTh22/h7ruhTRu3XuSVV7pT4UVFu0cPeOIJ2LnT669kjDGmAipSoM8CVoVuh4rYbVaqmg9cC7wJrANmq+oaERkjImNCzV4DNgJZwFRgbFV/b1AkJiaSlZXFp59+CsAJJ5xAjx49OHjwoGuQlgbjx7t1I4uK9nffwT33QLt2sGyZOxXeqFG4aHftCo89Bjt2ePjNjDHGHElFCnR/oC3udqgM4LzQzypT1ddUtb2qnqCqk0LbHlPVx0LPVVWvCb1/SmmDw2q6Tp06oapMnTqVZcuWUadOHaZMmVJ642OPhZtugs8/DxftTZvgvvugY0dYsQJ+/3to0iRctE89FR56CLZti+4XM8YYU6qjFmgR2SMiu4FPcfdAfxp6rAn9NFF01VVXcejQIQYNGsT48eMRET766KOjfzA1FW64AdauDRftLVvcItCnnAKffALXXQcpKeGifdJJcP/9sHlz9X8xY4wxhzlqgVbVZFWtX8ojWVXrRyOkOVxcXByvvvoqOTlunFyvXr1o0KABOyt6nTklxRXl1avDRXvbNnjkEejSBdatgxtvhObNw0W7fXs3ldn3NXoIgDHGeM7fN9WaI2rRogWqyhtvvMHu3btp1KgRo0aNorCwChO9NWniTn9//HG4aO/YAY8/Dt27w4YNbjLwY48NF+30dLd0VvF7t40xxlSJFegaoH///hQWFnLDDTcwffp0YmNjefnllyP3Cxo1cgPNli0LF+0ffoBp06BXL/jyS5gwwd3+lZnpivbxx8Odd7oR58YYYyrMCnQNISLcd9997Nmzh7S0NC688EJEhK+//rp6fmHDhu6Wrg8+CBftXbugdWs46yxXmG+91RXqop52y5bw17+6gl7OGeyMMaa2sgJdwyQlJfHtt9+ycuVKAFq3bs1ZZ53FoUOHqv+X16/vTpG/+264aO/ZA889B2efDTk5cPvt7pR4TIwr2qmprpB/8YUVbWOMKcYKdA112mmnoao8/PDD/O9//+OYY47h/vvvj36QpCS4/HJYsiRctHNzYdYst5D1li3uVHjbtuGi3bSpO2VedJuYMcbUQlaga7ixY8dy6NAhzj33XG688UZEhMzMTG9D1asHl1ziFrIuKtp5efDii9C/P2zf7gadnXhiuGg3bAg33+xGllvRNsbUAlaga4G4uDgWLFjAt99+C0D37t1JSUlh9+7dHicrpm5duPBCtwh2UdHetw/mzIHzznPXt++5x92bXVS0k5LgD3+ATz+1om2MqXGsQNciaWlpqCqvvPIK27Zto0GDBowdO5byLjkadQkJMHgwzJ8fLtr797vXgwfD3r1udrRTTgkX7YQEGDcOVq6EqtxuZowxHrMCXQtlZGRQWFjI2LFjefTRR4mJiWH+/PlexyqfOnVcj3rOnHDRPnDA9bwvusg9/9e/3EQrsbGuaMfHw9ix7hYwK9rGmICwAl1LiQgPP/wwu3btolmzZvzqV79CRMgO4mQjxxzjrl2/8EK4aB886K5xDxsG+fnw6KNuopWioi0Co0fD0qVQUOD1NzDGmJ/wtECLSGMRWSAiG0I/G5XSppWILBaRdSKyRkSu9yJrTVW/fn02b97M8uVu/ZFWrVpx7rnnkp+f73GyKoqPd6PEZ848vGgvXuxGlQNMnQo9e0JcXHiClVGj3L3dVrSNMR7zugc9Hlikqu2ARaHXJeUD/6eqHYFewDXVtC51rdatWzdUlfvuu49FixYRHx/Pww8/7HWsyIqPhz593H3ZRUX70CF45x13/zbA9Olw5pmuaBf1tEeMcPd2B/0/LcaYQPG6QA8GZoSezwCGlGygqt+r6seh53twa0a3jFrCWuaGG27g4MGD9O7dm2uvvRYRYdWqVV7Hqj5xcdC7t5sBraho5+fD//7nZkoDePpp+PnPXYEvKtq//rW7t9uKtjGmmnhdoFNV9XtwhRhodqTGItIa6AKUY31FU1nx8fG88847fPXVVwB07tyZtLQ0cnNzvQ0WLbGxrhc9bdrhRfujj9x1a4Dnn4e+fQ8v2sOGueve0Zi1zRhT40l132IjIguB5qW8NRGYoaoNi7X9QVV/ch069F4S8P+ASar60hF+32hgNEBKSkq32bNnVyW+J3Jzc0lKSvI6xo927tzJF198AUCzZs1o1apVmW39lr28Kp07L88t0bltW+n3Yjds6Jb1TE52Rbwa1Lpj7gNBzR7U3BDc7H379s1U1e6V+rCqevYA1gMtQs9bAOvLaBcPvAn8oSL7b9++vQbR4sWLvY7wEwUFBTpq1CgFFNA33nij1HZ+zF4eEctdUKC6YoXqddepJiQU9b8Pf5x/vur8+ar790fkV9b6Y+6BoGYPam7V4GYHlmsla6TXp7jnASNCz0cAc0s2EBEBpgHrVPXeKGYzxcTExPDEE0/www8/0KBBAwYMGICI8P3333sdzV9iYqBzZ3jwQTcTmqq793r1arjxRjfN6bx5kJHhJlUpOj2ekQFz57qJWIwxBu+vQU8G+onIBqBf6DUicqyIvBZq8zNgOPALEVkZegzyJq5p2LAhO3fu5MMPPwTg2GOPZdCgQcG/Las6ibjZzu691y0UUlS0166FP/4RGjSAV1+FIUPclKdFRXvAAHjpJVfojTG1jqcFWlW3q+o5qtou9HNHaHuOqg4KPX9PVUVVT1XVzqHHa0fes6luPXv2RFWZMmUKr7/+OvHx8UydOtXrWMEhAh07wt//Djt3hov2+vVuJa8mTeDNN93saImJ4aJ97rkwe7a79m2MqdG87kGbgLv55ps5cOAAPXr0YPTo0WRmZrJmzRqvYwWTCLRvD3fdFR50VlgIWVluzezUVFi0yI0Wr1cvXLQ//9yNKq8to+yNqSWsQJsqO+aYY/joo49+HOl98sknc8IJJ5BnvbyqE4ETToC//Q02bQoX7Y0b4fbboWVL2LPH3ZddNFJcxN3b/cwz7j1jTCBZgTYRk56eTrdu3Zg1axYbN26kXr16jB8/3r+rZQWVCLRpA3/5C2RnQ7durnB//TXceSccdxy89x785jdQv364aJ9xBjz5pFu60xjje1agTcRdcsklFBQUMHz4cKZMmUJMTAxvv/2217FqvuOOg4kTXaEuuqkrOxsmT4b0dPjwQzc7WsOG4aJ9+uluTvKdO71Ob4wpwQq0qRYxMTE8/fTTbN++nYSEBM455xxEhC1btngdrXZp2RJuuQW++CJctHNy4B//cNe7ly93s6M1ahQu2l26uNW/duzwOr0xtZoVaFOtGjduzL59+3jvvfcASE1N5cILL6TAVovyTosW8H//50aMFxXtTZvg/vvhpJNg5Uq3fnaTJuGifcopbp3trVu9Tm9MrWEF2kTFz372MwoLC/nb3/7Gyy+/TFxcHDNmzDj6B010pKbC9dfDmjXhor11Kzz0EJx6Knz6KYwbB82ahYt2x45w332webPX6Y2pkaxAm6gREW699Vb27dvHaaedxsiRIxER1q9f73U0U5qmTeGaa2DVqnDR3rbNnf7u2hU++wz+8Ado3jxctNu3h3vuAZthzpgqswJtoi4hIYGVK1fy+eefA9ChQwdOOukk9tmMWf7XpAmMGQOZmeGivWOHG2jWowds2AA33wzHHhsu2unpcPfdbsCaMabcrEAbz7Rr1w5V5bnnnmPdunUkJiZy22232W1ZQdOoEVx1lVuOs6ho79zpbuk64wz48kv405+gVatw0T7+eNfL/uYbr9Mb41tWoI3nLr/8cgoKCrjkkku44447iImJ4Z133vE6lqmKBg1g5Eh4//1w0d69202e0ru3K8w5Oa5QFxXtli3hr391Bd3+k2aMFWjjDzExMcyaNYutW7cSExPD2WefTWxsLNu2bfM6momU5GS44gp45x1XgLt1czOdPf889O3rCvbtt7tT4jExrminprppTrOyrGibWscKtPGVpk2bUlBQwJIlSygsLCQlJYXLLruMwsJCr6OZ6pCUBJddBm+/He5p793rFgTp1w+2bHGzo7VrFy7aTZq4BUWKbhMzpobytECLSGMRWSAiG0I/Gx2hbayIrBCR+dHMaLxx9tlnU1hYyJ///GdmzpxJbGws//nPf7yOZaIhMREuvhjeeitctPPy3NKbAwa4QWmTJ0OHDplgZ9MAAAzXSURBVOGi3aCBW7pz7Vor2qbG8LoHPR5YpKrtgEWh12W5HlgXlVTGF0SEO+64g7y8PDp27Mjll1+OiJCVleV1NBNtdevCBRfA66+Hi/a+fTB3LmRkuOvb//gHdOoULtr16sGNN8Inn1jRNoHkdYEeDBTNVjEDGFJaIxFJA84DnohSLuMjdevWZe3ataxb5/5/1q5dO7p06cKBAwc8TmY8lZAA558Pr7wSLtr798Orr8KQIa7Xff/9bqKVoqJdpw5cd52bLc0umxif87pAp6rq9wChn83KaHc/cDNgf6NqsQ4dOqCqPPnkk6xcuZKEhAQmTZrkdSzjJ3XqwKBB8PLL4aJ94AC8+SYMHQoHD7rZ0bp0gdhYV7Tj4uD3v3f3dlvRNj4i1X3PqYgsBJqX8tZEYIaqNizW9gdVPew6tIhkAINUdayI9AFuUtWMI/y+0cBogJSUlG6zZ8+OwLeIrtzcXJKSkryOUSnRzP7FF1+wM7QKU4cOHahXr16l92XHPPo8za0KubluZrSyFgVp2tQ9SvlzdcTshw5BfHwEw0ZOUP+sQHCz9+3bN1NVu1fqw6rq2QNYD7QIPW8BrC+lzd1ANvAVsAnIA54tz/7bt2+vQbR48WKvI1RatLNv2rRJAQW0bt26umPHjkrtx4559Pku96FDqkuWqF5xRVHf+6ePK69Uff/9srN/8IFqTIzquHGqublRjV8evjvmFRDU7MByrWSN9PoU9zxgROj5CGBuyQaqOkFV01S1NXAp8LaqXhG9iMbPUlNTUVUWLlzIvn37aNy4MSNHjrTbskzFxcXB2We7yVSKSvKhQ/Duu27SFYDp0+HMM93p8KIJVkaMcG3y86FnT7eIyEMPQZs2MN9uOjGV53WBngz0E5ENQL/Qa0TkWBF5zdNkJlDOOeccCgsLufnmm5kxYwaxsbG88MILXscyQRcXB2ed5aYtLSra+fnuFq9Ro1ybp5+Gn//cndaOiXErghUWutXAhg1z18Rzcrz9HiaQPC3QqrpdVc9R1XahnztC23NUdVAp7ZfoEa4/m9pNRJgyZQq5ubm0adOGiy++GBHhyy+//LHN3LlzmTx5socpTeDFxrrr0k88ES7aBQWwdClcffXhbfPyYMECaNvWLShiTAV43YM2JuLq1avHxo0b+eSTTwBIT0+nV69eHDx4kJycHCZMmMAzzzzjcUpTo8TEwOmnu1u6RNy2hASoXz98T/aGDd5mNIET53UAY6rLySefjKry+OOPc/XVV1OnTh2uvPJKYmJiuPrqq2ndujW9e/f2OqapKQoK4N574cQT3TzjZ5zhCvYpp0DDhkf/vDElWIE2Nd7o0aO58sorOf/885k+fToA+/btIyMjg8zMTNq2betxQlMjxMa6RT2MiRA7xW1qhb1799K7d2+Sk5OR0CnIPXv20KdPH3aUdR+sMcZ4yAq0qRUWLFjAxIkT2b9//48Tmqgqmzdvpn///kX33BtjjG/YKW5TKwwdOpTc3Fw+++wz1qxZw6pVq1i2bBmfffYZmZmZ7Nmzx+uIxhhzGCvQptZITEyka9eudO3aleHDh/+4fe/evSxbtszDZMYY81N2itvUelWZw9sYY6qLFWhjjDHGh6xAG2OMMT5kBdoYY4zxISvQxhhjjA9ZgTbGGGN8yNMCLSKNRWSBiGwI/WxURruGIvKCiHwmIutE5IxoZzXGGGOiyese9Hhgkaq2AxaFXpfmAeANVe0AnAasi1I+Y4wxxhNeF+jBwIzQ8xnAkJINRKQ+8HNgGoCqHlTVnVFLaIwxxnhAvJyDWER2qmrDYq9/UNVGJdp0Bh4H1uJ6z5nA9aq6t4x9jgZGA6SkpHSbPXt2dcWvNrm5uSQlJXkdo1KCmj2ouSG42YOaG4KbPai5IbjZ+/btm6mq3Svz2Wov0CKyEGheylsTgRnlKNDdgQ+Bn6nqRyLyALBbVW892u8+8cQTdf369VX7Ah5YsmQJffr08TpGpQQ1e1BzQ3CzBzU3BDd7UHNDcLOLSKULdLXPxa2q55b1nohsFpEWqvq9iLQAtpTSLBvIVtWPQq9foOxr1cYYY0yN4PU16HnAiNDzEcDckg1UdRPwrYicGNp0Du50tzHGGFNjeV2gJwP9RGQD0C/0GhE5VkReK9buOuA5EVkNdAbuinpSY4wxJoo8XW5SVbfjesQlt+cAg4q9XglU6hy+McYYE0Re96CNMcYYUwor0MYYY4wPWYE2xhhjfMgKtDHGGONDVqCNMcYYH7ICbYwxxviQFWhjjDHGh6xAG2OMMT5kBdoYY4zxISvQxhhjjA9ZgTbGGGN8qNrXg/aSiOwBgrcgNDQFtnkdopKCmj2ouSG42YOaG4KbPai5IbjZT1TV5Mp80NPFMqJgfWUXyvaSiCwPYm4Ibvag5obgZg9qbghu9qDmhuBmF5Hllf2sneI2xhhjfMgKtDHGGONDNb1AP+51gEoKam4Ibvag5obgZg9qbghu9qDmhuBmr3TuGj1IzBhjjAmqmt6DNsYYYwKpxhRoEWksIgtEZEPoZ6My2n0lIp+IyMqqjK6LBBEZICLrRSRLRMaX8r6IyIOh91eLSFcvcpZUjtx9RGRX6BivFJHbvMhZkohMF5EtIvJpGe/78nhDubL79Zi3EpHFIrJORNaIyPWltPHdcS9nbr8e8wQRWSoiq0LZ/1pKGz8e8/Lk9uUxLyIisSKyQkTml/JexY+5qtaIB/B3YHzo+XhgShntvgKa+iBvLPAFkA4cA6wCTirRZhDwOiBAL+CjgOTuA8z3Omsp2X8OdAU+LeN93x3vCmT36zFvAXQNPU8GPg/In/Py5PbrMRcgKfQ8HvgI6BWAY16e3L485sXy/QF4vrSMlTnmNaYHDQwGZoSezwCGeJilPHoAWaq6UVUPAjNx36G4wcDT6nwINBSRFtEOWkJ5cvuSqr4D7DhCEz8eb6Bc2X1JVb9X1Y9Dz/cA64CWJZr57riXM7cvhY5jbuhlfOhRcrCRH495eXL7loikAecBT5TRpMLHvCYV6FRV/R7cXy6gWRntFHhLRDJFZHTU0v1US+DbYq+z+ek/AOVpE23lzXRG6FTV6yLSKTrRqsyPx7sifH3MRaQ10AXXMyrO18f9CLnBp8c8dKp1JbAFWKCqgTjm5cgNPj3mwP3AzUBhGe9X+JgHaiYxEVkINC/lrYkV2M3PVDVHRJoBC0Tks1DvJNqklG0l/7dYnjbRVp5MHwPHq2quiAwC5gDtqj1Z1fnxeJeXr4+5iCQBLwI3qOrukm+X8hFfHPej5PbtMVfVAqCziDQEXhaRk1W1+PgFXx7zcuT25TEXkQxgi6pmikifspqVsu2IxzxQPWhVPVdVTy7lMRfYXHS6IPRzSxn7yAn93AK8jDtl64VsoFWx12lATiXaRNtRM6nq7qJTVar6GhAvIk2jF7HS/Hi8y8XPx1xE4nFF7jlVfamUJr487kfL7edjXkRVdwJLgAEl3vLlMS9SVm4fH/OfAeeLyFe4y36/EJFnS7Sp8DEPVIE+innAiNDzEcDckg1EpJ6IJBc9B34JlDoqNgqWAe1EpI2IHANcivsOxc0DfhMa/dcL2FV0Gt9DR80tIs1FRELPe+D+nG2PetKK8+PxLhe/HvNQpmnAOlW9t4xmvjvu5cnt42OeEuqBIiJ1gXOBz0o08+MxP2puvx5zVZ2gqmmq2hr3b+LbqnpFiWYVPuaBOsV9FJOB2SIyCvgGuBhARI4FnlDVQUAq7rQJuO/+vKq+4UVYVc0XkWuBN3Ejo6er6hoRGRN6/zHgNdzIvywgD/itF1mLK2fuocDvRSQf2AdcqqFhjF4Skf/gRoE2FZFs4C+4gSi+Pd5FypHdl8cc17MYDnwSurYI8CfgOPD1cS9Pbr8e8xbADBGJxRWw2ao63+//tlC+3H495qWq6jG3mcSMMcYYH6pJp7iNMcaYGsMKtDHGGONDVqCNMcYYH7ICbYwxxviQFWhjjDHGh6xAG2OMMT5kBdoYY4zxoZo0UYkxpgpEpAD4BPfvwpfA8NCUi8YYD1gP2hhTZJ+qdlbVk3FLW17jdSBjajMr0MaY0nxAaCk8EblCRJaKyEoR+XdoKkZjTDWzAm2MOUyoAJ8DzBORjsAw3DKtnYEC4Nde5jOmtrBr0MaYInVDC0O0BjKBBcDvgW7AstAiM3UpYylXY0xk2WIZxhgARCRXVZNEpAEwH/gvbkH5Y1V1grfpjKl97BS3MeYwqroLGAfcBLwDDBWRZgAi0lhEjvcynzG1hRVoY8xPqOoKYBVwKvBn4C0RWY077d3Cy2zG1BZ2itsYY4zxIetBG2OMMT5kBdoYY4zxISvQxhhjjA9ZgTbGGGN8yAq0McYY40NWoI0xxhgfsgJtjDHG+JAVaGOMMcaH/j+TP3WkekEh/AAAAABJRU5ErkJggg==\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "c1 = 1.0 - 0.5j\n", "c2 = 2.3 + 0.7j\n", @@ -397,29 +284,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:18.570569Z", - "iopub.status.busy": "2021-09-23T10:12:18.569905Z", - "iopub.status.idle": "2021-09-23T10:12:18.797353Z", - "shell.execute_reply": "2021-09-23T10:12:18.798155Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "c = 1.5 + 0.4j\n", "c_conj = np.conj(c)\n", @@ -458,29 +325,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:18.809883Z", - "iopub.status.busy": "2021-09-23T10:12:18.808913Z", - "iopub.status.idle": "2021-09-23T10:12:19.077255Z", - "shell.execute_reply": "2021-09-23T10:12:19.078056Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "c = 1.5 + 0.4j\n", "c_inv = 1 / c\n", @@ -505,29 +352,9 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:19.096609Z", - "iopub.status.busy": "2021-09-23T10:12:19.085883Z", - "iopub.status.idle": "2021-09-23T10:12:19.326297Z", - "shell.execute_reply": "2021-09-23T10:12:19.327016Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "c1 = 1.3 + 0.3j\n", "c2 = 0.8 + 0.4j\n", @@ -553,29 +380,9 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:19.344359Z", - "iopub.status.busy": "2021-09-23T10:12:19.343199Z", - "iopub.status.idle": "2021-09-23T10:12:19.786316Z", - "shell.execute_reply": "2021-09-23T10:12:19.787037Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def plot_polar_vector(c, label=None, color=None, start=0, linestyle='-'):\n", " \"\"\"Plot arrow in polar plot\n", @@ -626,15 +433,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:19.791827Z", - "iopub.status.busy": "2021-09-23T10:12:19.790923Z", - "iopub.status.idle": "2021-09-23T10:12:19.795631Z", - "shell.execute_reply": "2021-09-23T10:12:19.796383Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.complex\n", @@ -658,15 +458,8 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:19.800643Z", - "iopub.status.busy": "2021-09-23T10:12:19.799775Z", - "iopub.status.idle": "2021-09-23T10:12:19.802446Z", - "shell.execute_reply": "2021-09-23T10:12:19.803282Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -676,41 +469,9 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:19.817292Z", - "iopub.status.busy": "2021-09-23T10:12:19.812546Z", - "iopub.status.idle": "2021-09-23T10:12:20.326894Z", - "shell.execute_reply": "2021-09-23T10:12:20.327713Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.complex.exercise_complex(show_result=show_result)" ] @@ -736,15 +497,8 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:20.333353Z", - "iopub.status.busy": "2021-09-23T10:12:20.332676Z", - "iopub.status.idle": "2021-09-23T10:12:20.335312Z", - "shell.execute_reply": "2021-09-23T10:12:20.335998Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -754,29 +508,9 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:20.350384Z", - "iopub.status.busy": "2021-09-23T10:12:20.343720Z", - "iopub.status.idle": "2021-09-23T10:12:21.522624Z", - "shell.execute_reply": "2021-09-23T10:12:21.523624Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/html": [ - "\n", - " \n", - " " - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import IPython.display as ipd\n", "ipd.display(ipd.YouTubeVideo('b005iHf8Z3g', width=600, height=450))" @@ -841,15 +553,8 @@ }, { "cell_type": "code", - "execution_count": 17, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:21.529276Z", - "iopub.status.busy": "2021-09-23T10:12:21.528274Z", - "iopub.status.idle": "2021-09-23T10:12:21.530609Z", - "shell.execute_reply": "2021-09-23T10:12:21.531312Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -859,58 +564,18 @@ }, { "cell_type": "code", - "execution_count": 18, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:21.535935Z", - "iopub.status.busy": "2021-09-23T10:12:21.535066Z", - "iopub.status.idle": "2021-09-23T10:12:25.089640Z", - "shell.execute_reply": "2021-09-23T10:12:25.090369Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.complex.exercise_mandelbrot_fancy(show_result=show_result)" ] @@ -942,7 +607,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/PCP_07_exp.html b/PCP_07_exp.html index 2647c9a..62adcea 100644 --- a/PCP_07_exp.html +++ b/PCP_07_exp.html @@ -1,16 +1,90 @@ - - - -PCP_07_exp - - - - - + + + +PCP_07_exp + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
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    -PCP Teaser +PCP Teaser
    @@ -13091,15 +13097,15 @@
    -

    Unit 7: Exponential Function

    @@ -13107,12 +13113,11 @@

    Unit 7: Exponential Function
    -

    +

    Overview and Learning Objectives

    - -The exponential function is one of the most important functions in mathematics. In everyday life, we encounter this function when a phenomenon (e.g., the spread of a viral infection) can be modeled by an initial value and a growth rate. The exponential function has several remarkable mathematical properties, which lead to different ways on how to approach and define this concept. In this unit, we introduce the exponential function by its power series. This definition allows for expanding the definition of a real (defined for real numbers in $\mathbb{R}$) to a complex exponential function (defined for complex numbers in $\mathbb{C}$). The complex version of the exponential function will play a central role for defining and understanding the Fourier transform covered in Unit 9. We will then go through important properties such as the exponentiation identity and Euler's Formula, which sheds a different, more natural light on the trigonometric identities of the sine and the cosine functions. Furthermore, we discuss the exponential function from the perspective of differential equations. This also leads to numerical methods for approximating the exponential function's values (methods that are much more efficient than using the power series). Finally, we introduce the notion of roots of unity, which are the roots of a specific polynomial (being of the form $z^N-1$ for some $N\in\mathbb{N}$) and can be expressed in terms of the exponential function. These roots of unity are the building blocks of the discrete Fourier transform (DFT) and the FFT algorithm—topics we cover in Unit 9. While discussing the exponential function, another goal of this unit is to further deepen your skills in Python programming by applying the concepts learned in previous units. In Exercise 1 we ask you to implement and compare two algorithms to approximate the exponential function for some given argument. Then, in Exercise 2, you will write a Python program to compute and plot the Gaussian function given the exponential function. Finally, you will apply in Exercise 3 the exponential function to create spirals with different properties, which will deepen your understanding of the relationship between the complex exponential function and angles. - +
    +

    The exponential function is one of the most important functions in mathematics. In everyday life, we encounter this function when a phenomenon (e.g., the spread of a viral infection) can be modeled by an initial value and a growth rate. The exponential function has several remarkable mathematical properties, which lead to different ways on how to approach and define this concept. In this unit, we introduce the exponential function by its power series. This definition allows for expanding the definition of a real (defined for real numbers in $\mathbb{R}$) to a complex exponential function (defined for complex numbers in $\mathbb{C}$). The complex version of the exponential function will play a central role for defining and understanding the Fourier transform covered in Unit 9. We will then go through important properties such as the exponentiation identity and Euler's Formula, which sheds a different, more natural light on the trigonometric identities of the sine and the cosine functions. Furthermore, we discuss the exponential function from the perspective of differential equations. This also leads to numerical methods for approximating the exponential function's values (methods that are much more efficient than using the power series). Finally, we introduce the notion of roots of unity, which are the roots of a specific polynomial (being of the form $z^N-1$ for some $N\in\mathbb{N}$) and can be expressed in terms of the exponential function. These roots of unity are the building blocks of the discrete Fourier transform (DFT) and the FFT algorithm—topics we cover in Unit 9. While discussing the exponential function, another goal of this unit is to further deepen your skills in Python programming by applying the concepts learned in previous units. In Exercise 1 we ask you to implement and compare two algorithms to approximate the exponential function for some given argument. Then, in Exercise 2, you will write a Python program to compute and plot the Gaussian function given the exponential function. Finally, you will apply in Exercise 3 the exponential function to create spirals with different properties, which will deepen your understanding of the relationship between the complex exponential function and angles.

    @@ -13120,21 +13125,23 @@

    Overview and Learning Objectives

    -

    -

    Power Series

    One encounters the real exponential function $\exp:\mathbb{R}\to \mathbb{R}$ in the context of many mathematical applications, and the function can be characterized in many different ways. Historically, the exponential function was studied already by Johann Bernoulli in the $17^\mathrm{th}$ century when considering interest rates: Assume that an amount of $1$ earns an interest $x$ at an annual rate compounded monthly. Then the interest earned each month is $\frac{x}{12}$ times the current value, so that each month the total value is multiplied by $\left(1+\frac{x}{12}\right)$ and the value at the end of the year is $\left(1+\frac{x}{12}\right)^{12}$. In case the interest is compounded every day, it becomes $\left(1+\frac{x}{365}\right)^{365}$. Letting the time intervals grow per year by making them shorter leads to the limit definition of the exponential function

    -$$\exp(x) = \mathrm{lim}_{n\to\infty} \left(1+\frac{x}{n}\right)^{n},$$

    which was first given by Leonhard Euler. The constant $e:=\exp(1)\approx 2.71828 \ldots$ is also known as Euler's number. By expanding the $n$-fold product in the above definition, one can show that the exponential function can also be expressed by the following power series:

    -$$\exp(x) := \sum_{n=0}^{\infty} \frac{x^n}{n!} = 1 + x + \frac{x^2}{1 \cdot 2} + \frac{x^3}{1 \cdot 2 \cdot 3} + \dots$$

    with $x\in\mathbb{R}$. Replacing in the power series the real-valued variable $x\in\mathbb{R}$ by a complex-valued variable $z\in\mathbb{C}$, one still obtains the complex exponential function $\exp:\mathbb{C}\to \mathbb{C}$ given by

    -$$\exp(z) := \sum_{n=0}^{\infty} \frac{z^n}{n!} = 1 + z + \frac{z^2}{1 \cdot 2} + \frac{z^3}{1 \cdot 2 \cdot 3} + \dots$$

    In the following plot, we visualize the real part, the imaginary part, as well as the absolute value of the complex exponential function over the complex plane. It can be seen that the absolute value $|\exp(z)|$ only depends on the real part $x$ of the complex argument $z=x+iy$, while increasing exponentially with increasing $x$. Furthermore, the real part $\mathrm{Re}(\exp(z))$ and imaginary part $\mathrm{Im}(\exp(z))$ show periodic oscillations over $y$ for a fixed $x$. This behavior becomes clear from Euler's formula and other trigonometric identities that hold for the exponential function.

    - +

    +

    Power Series

    One encounters the real exponential function $\exp:\mathbb{R}\to \mathbb{R}$ in the context of many mathematical applications, and the function can be characterized in many different ways. Historically, the exponential function was studied already by Johann Bernoulli in the $17^\mathrm{th}$ century when considering interest rates: Assume that an amount of $1$ earns an interest $x$ at an annual rate compounded monthly. Then the interest earned each month is $\frac{x}{12}$ times the current value, so that each month the total value is multiplied by $\left(1+\frac{x}{12}\right)$ and the value at the end of the year is $\left(1+\frac{x}{12}\right)^{12}$. In case the interest is compounded every day, it becomes $\left(1+\frac{x}{365}\right)^{365}$. Letting the time intervals grow per year by making them shorter leads to the limit definition of the exponential function

    +

    $$\exp(x) = \mathrm{lim}_{n\to\infty} \left(1+\frac{x}{n}\right)^{n},$$

    +

    which was first given by Leonhard Euler. The constant $e:=\exp(1)\approx 2.71828 \ldots$ is also known as Euler's number. By expanding the $n$-fold product in the above definition, one can show that the exponential function can also be expressed by the following power series:

    +

    $$\exp(x) := \sum_{n=0}^{\infty} \frac{x^n}{n!} = 1 + x + \frac{x^2}{1 \cdot 2} + \frac{x^3}{1 \cdot 2 \cdot 3} + \dots$$

    +

    with $x\in\mathbb{R}$. Replacing in the power series the real-valued variable $x\in\mathbb{R}$ by a complex-valued variable $z\in\mathbb{C}$, one still obtains the complex exponential function $\exp:\mathbb{C}\to \mathbb{C}$ given by

    +

    $$\exp(z) := \sum_{n=0}^{\infty} \frac{z^n}{n!} = 1 + z + \frac{z^2}{1 \cdot 2} + \frac{z^3}{1 \cdot 2 \cdot 3} + \dots$$

    +

    In the following plot, we visualize the real part, the imaginary part, as well as the absolute value of the complex exponential function over the complex plane. It can be seen that the absolute value $|\exp(z)|$ only depends on the real part $x$ of the complex argument $z=x+iy$, while increasing exponentially with increasing $x$. Furthermore, the real part $\mathrm{Re}(\exp(z))$ and imaginary part $\mathrm{Im}(\exp(z))$ show periodic oscillations over $y$ for a fixed $x$. This behavior becomes clear from Euler's formula and other trigonometric identities that hold for the exponential function.

    -
    In [1]:
    +
    In [1]:
    -
    -
    import numpy as np
+
    
+
    import numpy as np
 from matplotlib import pyplot as plt
 %matplotlib inline
 
@@ -13145,83 +13152,71 @@ 
    Power Series&#
 plt.figure(figsize=(12, 4))
 extent = [-2, 2, -12, 12]
 plt.subplot(1, 3, 1)
-plt.imshow(np.real(f_exp),  aspect='auto', cmap='seismic', origin='lower', extent=extent)
-plt.title('Real part Re(exp(z))')
-plt.xlabel('x = Re(z)')
-plt.ylabel('y = Im(z)')
+plt.imshow(np.real(f_exp),  aspect='auto', cmap='seismic', origin='lower', extent=extent)
+plt.title('Real part Re(exp(z))')
+plt.xlabel('x = Re(z)')
+plt.ylabel('y = Im(z)')
 plt.colorbar()
 plt.subplot(1, 3, 2)
-plt.imshow(np.imag(f_exp),  aspect='auto', cmap='seismic', origin='lower', extent=extent)
-plt.title('Imaginary part Im(exp(z))')
-plt.xlabel('x = Re(z)')
-plt.ylabel('y = Im(z)')
+plt.imshow(np.imag(f_exp),  aspect='auto', cmap='seismic', origin='lower', extent=extent)
+plt.title('Imaginary part Im(exp(z))')
+plt.xlabel('x = Re(z)')
+plt.ylabel('y = Im(z)')
 plt.colorbar()
 plt.subplot(1, 3, 3)
-plt.imshow(np.abs(f_exp),  aspect='auto', cmap='gray_r', origin='lower', extent=extent)
-plt.title('Absolute value |exp(z)|')
-plt.xlabel('x = Re(z)')
-plt.ylabel('y = Im(z)')
+plt.imshow(np.abs(f_exp),  aspect='auto', cmap='gray_r', origin='lower', extent=extent)
+plt.title('Absolute value |exp(z)|')
+plt.xlabel('x = Re(z)')
+plt.ylabel('y = Im(z)')
 plt.colorbar()
 plt.tight_layout()
 
    
-
-
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    -
    -
    -
    -

    -

    Exponentiation Identity and Euler's Formula

    Based on the power series definition, one may prove two famous formulas of the exponential function that explain many of its properties. The first formula is knowns as exponentiation identity and says that

    -$$ +

    +

    Exponentiation Identity and Euler's Formula

    Based on the power series definition, one may prove two famous formulas of the exponential function that explain many of its properties. The first formula is knowns as exponentiation identity and says that

    +

    $$ \exp(z_1 + z_2) = \exp(z_1)\cdot \exp(z_2) -$$

    for any complex numbers $z_1, z_2\in\mathbb{C}$. In particular, this property explains the exponential increase for real arguments. For example,

    -$$ +$$

    +

    for any complex numbers $z_1, z_2\in\mathbb{C}$. In particular, this property explains the exponential increase for real arguments. For example,

    +

    $$ \exp(n) = \exp(1+1+\ldots +1) = \exp(1)^n = e^n -$$

    for $n\in\mathbb{N}$. The second famous formula, which is known as Euler's formula, relates the values of the exponential function at purely imaginary arguments to trigonometric functions. It states that for the complex (and purely imaginary) number $c = i\gamma$ with some real-valued $\gamma\in\mathbb{R}$ one has the identity

    -$$\mathrm{exp}(i\gamma) = \cos(\gamma) + i\sin(\gamma) .$$

    Actually, starting with the real sine and cosine functions, one often defines $\mathrm{exp}(i\gamma)$ by means of the Euler formula (rather than using the power series). This explains the periodic behavior of the real and imaginary part of $\exp$ along the imaginary (vertical) axis as shown in the previous figure. The real value $\gamma$ can be thought of as an angle (given in radians). The following visualization shows how the values $\mathrm{exp}(i\gamma)$ change when increasing the angle $\gamma$ from $0$ to $2\pi$:

    - +$$

    +

    for $n\in\mathbb{N}$. The second famous formula, which is known as Euler's formula, relates the values of the exponential function at purely imaginary arguments to trigonometric functions. It states that for the complex (and purely imaginary) number $c = i\gamma$ with some real-valued $\gamma\in\mathbb{R}$ one has the identity

    +

    $$\mathrm{exp}(i\gamma) = \cos(\gamma) + i\sin(\gamma) .$$

    +

    Actually, starting with the real sine and cosine functions, one often defines $\mathrm{exp}(i\gamma)$ by means of the Euler formula (rather than using the power series). This explains the periodic behavior of the real and imaginary part of $\exp$ along the imaginary (vertical) axis as shown in the previous figure. The real value $\gamma$ can be thought of as an angle (given in radians). The following visualization shows how the values $\mathrm{exp}(i\gamma)$ change when increasing the angle $\gamma$ from $0$ to $2\pi$:

    -
    In [2]:
    +
    In [2]:
    -
    -
    from matplotlib import ticker 
+
    
+
    from matplotlib import ticker 
 %matplotlib inline
 
-cmap = plt.cm.get_cmap('hsv') # hsv is nice because it defines a circular color map
+cmap = plt.cm.get_cmap('hsv') # hsv is nice because it defines a circular color map
 
 N = 64
 
 fig = plt.figure(figsize=(12, 4))
-ax1 = fig.add_subplot(1, 3, 1, projection='polar')
+ax1 = fig.add_subplot(1, 3, 1, projection='polar')
 ax2 = fig.add_subplot(1, 3, 2)
 ax3 = fig.add_subplot(1, 3, 3)
 
@@ -13230,87 +13225,82 @@ 
    Exponentiation Identity and
     c = np.exp(1j * gamma)
     color = cmap(i / N)
     ax1.plot([0, np.angle(c)], [0, np.abs(c)], color=color)
-    ax1.plot(np.angle(c), np.abs(c), 'o', color=color)
-    ax2.plot(gamma, np.real(c), 'o', color=color)
-    ax3.plot(gamma, np.imag(c), 'o', color=color)
+    ax1.plot(np.angle(c), np.abs(c), 'o', color=color)
+    ax2.plot(gamma, np.real(c), 'o', color=color)
+    ax3.plot(gamma, np.imag(c), 'o', color=color)
     
 ax2.grid()
-ax2.set_xlabel('$\gamma$ [radians]')
-ax2.set_ylabel('$\mathrm{Re}(\exp(i \gamma))$')
-ax2.xaxis.set_major_formatter(ticker.FormatStrFormatter('$%s$')) 
+ax2.set_xlabel('$\gamma$ [radians]')
+ax2.set_ylabel('$\mathrm{Re}(\exp(i \gamma))$')
+ax2.xaxis.set_major_formatter(ticker.FormatStrFormatter('$%s$')) 
 
 ax3.grid()
-ax3.set_xlabel('$\gamma$ [radians]')
-ax3.set_ylabel('$\mathrm{Im}(\exp(i \gamma))$')
-ax3.xaxis.set_major_formatter(ticker.FormatStrFormatter('$%s$')) 
+ax3.set_xlabel('$\gamma$ [radians]')
+ax3.set_ylabel('$\mathrm{Im}(\exp(i \gamma))$')
+ax3.xaxis.set_major_formatter(ticker.FormatStrFormatter('$%s$')) 
 plt.tight_layout()
 
    
-
-
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    - -
    - -
    - - - - -
    - +
    +
    +
    /tmp/ipykernel_114157/1914264468.py:4: MatplotlibDeprecationWarning: The get_cmap function was deprecated in Matplotlib 3.7 and will be removed two minor releases later. Use ``matplotlib.colormaps[name]`` or ``matplotlib.colormaps.get_cmap(obj)`` instead.
+  cmap = plt.cm.get_cmap('hsv') # hsv is nice because it defines a circular color map
+
    +
    +
    +
    +
    +
    +No description has been provided for this image
    -
    -
    -

    We have seen from Euler's formula that the complex values $\mathrm{exp}(i\gamma)$ lie on the unit circle of the complex plane for all $\gamma\in\mathbb{R}$. Furthermore, due to periodicity, it suffices to consider $\gamma\in[0,2\pi)$. In fact, $\gamma$ encodes the angle (in radians) of the complex number $c = \mathrm{exp}(i\gamma)$, while $|c|=1$. From the exponentiation identity and Euler's formula, one can derive the following properties of the exponential function:

    -\begin{eqnarray} +

    \begin{eqnarray} \exp(i\gamma) & = & \exp(i(\gamma+2\pi)) \\ |\exp(i\gamma)| & = & 1 \\ \overline{\exp(i\gamma)} & = & \exp(-i\gamma) \\ \exp(i(\gamma_1+\gamma_2)) & = & \exp(i\gamma_1) \exp(i\gamma_2) \\ -\end{eqnarray}

    Plugging in Euler's formula in the last identity, on obtains the trigonometric identities for the sine and cosine:

    -\begin{eqnarray} +\end{eqnarray}

    +

    Plugging in Euler's formula in the last identity, on obtains the trigonometric identities for the sine and cosine:

    +

    \begin{eqnarray} \cos(\gamma_1+\gamma_2) &=& \cos(\gamma_1)\cos(\gamma_2) - \sin(\gamma_1)\sin(\gamma_2)\\ \sin(\gamma_1+\gamma_2) &=& \cos(\gamma_1)\sin(\gamma_2) + \cos(\gamma_2)\sin(\gamma_1) -\end{eqnarray} +\end{eqnarray}

    -

    -

    Differential Equations

    The exponential function can be characterized by another important property in terms of differential equations. Let us consider the differential equation $\frac{df}{dx}(x)=f(x)$ with initial condition $f(0)=1$. The Picard–Lindelöf Theorem implies that there exists a unique solution. Using the power series definition, one can easily check that the exponential function indeed fulfills these properties. The differential equation also holds for the complex exponential function. In particular, one obtains the following equations:

    -\begin{eqnarray} +

    +

    Differential Equations

    The exponential function can be characterized by another important property in terms of differential equations. Let us consider the differential equation $\frac{df}{dx}(x)=f(x)$ with initial condition $f(0)=1$. The Picard–Lindelöf Theorem implies that there exists a unique solution. Using the power series definition, one can easily check that the exponential function indeed fulfills these properties. The differential equation also holds for the complex exponential function. In particular, one obtains the following equations:

    +

    \begin{eqnarray} \frac{d\exp(x)}{dx} & = & \exp(x)\\ \frac{d\exp(z)}{dz} & = & \exp(z)\\ \frac{d\exp(i\gamma)}{d\gamma} & = & i\exp(i\gamma) -\end{eqnarray}

    There are many numerical methods for approximating solutions of differential equations with initial conditions. The easiest method is known as Euler's method, where one starts with the initial value and then uses a tangent line over a short step size to estimate the function's value at the next step. In the next code cell, we implement this procedure for the case of the real exponential function. The figure shows the approximative solution compared to the NumPy function np.exp. To better understand the quality of the solution of the interval considered, we apply plt.semilogy for plotting.

    - +\end{eqnarray}

    +

    There are many numerical methods for approximating solutions of differential equations with initial conditions. The easiest method is known as Euler's method, where one starts with the initial value and then uses a tangent line over a short step size to estimate the function's value at the next step. In the next code cell, we implement this procedure for the case of the real exponential function. The figure shows the approximative solution compared to the NumPy function np.exp. To better understand the quality of the solution of the interval considered, we apply plt.semilogy for plotting.

    -
    In [3]:
    +
    In [3]:
    -
    -
    def exp_approx_Euler(x_min=0, x_max=2, x_delta=0.01, f_0=1):
-    """Approximation of exponential function using Euler's method
+
    
+
    def exp_approx_Euler(x_min=0, x_max=2, x_delta=0.01, f_0=1):
+    """Approximation of exponential function using Euler's method
 
     Notebook: PCP_07_exp.ipynb
 
@@ -13323,7 +13313,7 @@ 
    Differential Equations    Returns:
         f: Signal
         x: Sampled input interval
-    """
+    """
     x = np.arange(x_min, x_max+x_delta, x_delta)
     N = len(x)
     f = np.zeros(N)
@@ -13339,122 +13329,108 @@ 
    Differential Equationsf, x = exp_approx_Euler(x_min=0, x_max=x_max, x_delta=x_delta, f_0=1)
 
 plt.subplot(1, 3, 1)
-plt.plot(x, f, 'r')
-plt.plot(x, np.exp(x), 'k')
-plt.legend(['Approximation','exp'])
+plt.plot(x, f, 'r')
+plt.plot(x, np.exp(x), 'k')
+plt.legend(['Approximation','exp'])
 plt.xlim([0, x_max])
 plt.grid()
-plt.title('Approximation with $\Delta$ = %.1f' % x_delta)
+plt.title('Approximation with $\Delta$ = %.1f' % x_delta)
 
 plt.subplot(1, 3, 2)
-plt.semilogy(x, f, 'r')
-plt.semilogy(x, np.exp(x), 'k')
-plt.legend(['Approximation','exp'])
+plt.semilogy(x, f, 'r')
+plt.semilogy(x, np.exp(x), 'k')
+plt.legend(['Approximation','exp'])
 plt.xlim([0, x_max])
-plt.grid(which='both')
-plt.title('Approximation with $\Delta$ = %.1f' % x_delta)
+plt.grid(which='both')
+plt.title('Approximation with $\Delta$ = %.1f' % x_delta)
 
 
 x_delta  = 0.01
 f, x = exp_approx_Euler(x_min=0, x_max=x_max, x_delta=x_delta, f_0=1)
 plt.subplot(1, 3, 3)
-plt.semilogy(x, f, 'r')
-plt.semilogy(x, np.exp(x), 'k')
-plt.legend(['Approximation','exp'])
+plt.semilogy(x, f, 'r')
+plt.semilogy(x, np.exp(x), 'k')
+plt.legend(['Approximation','exp'])
 plt.xlim([0, x_max])
-plt.grid(which='both')
-plt.title('Approximation with $\Delta$ = %.2f' % x_delta)
+plt.grid(which='both')
+plt.title('Approximation with $\Delta$ = %.2f' % x_delta)
 plt.tight_layout()
 
    
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    - -
    - - - - -
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    -
    -
    -
    -

    -

    Roots of Unity

    Let $N \in \mathbb{N}_{>0}$ be a positive integer. A complex number $\rho \in \mathbb{C}$ is called an $N^\mathrm{th}$ root of unity if $\rho^N = 1$. It is not hard to see that there are exactly $N$ distinct $N^\mathrm{th}$ roots of unity, which are exactly the $N$ different roots of the polynomial $z^N-1$ (see also Exercise 2 of Unit 6). Additionally, if $\rho^n \neq 1$ for all $n\in [1:N-1]$, the root $\rho$ is called a primitive $N^\mathrm{th}$ root of unity. With the properties mentioned above, it is easy to see that $\rho_N:=\exp(2 \pi i / N)$ is such a primitive $N^\mathrm{th}$ root of unity. Furthermore, all $N^\mathrm{th}$ roots of unity can be generated by considering the powers of $\rho_N$:

    -$$1=\rho_N^0, \quad \rho_N^1, \quad \rho_N^2, \quad ...,\quad \rho_N^{N-1}$$

    The following plot shows all roots of unity for different integers $N \in \mathbb{N}_{>0}$. The primitive roots are indicated in red.

    - +

    +

    Roots of Unity

    Let $N \in \mathbb{N}_{>0}$ be a positive integer. A complex number $\rho \in \mathbb{C}$ is called an $N^\mathrm{th}$ root of unity if $\rho^N = 1$. It is not hard to see that there are exactly $N$ distinct $N^\mathrm{th}$ roots of unity, which are exactly the $N$ different roots of the polynomial $z^N-1$ (see also Exercise 2 of Unit 6). Additionally, if $\rho^n \neq 1$ for all $n\in [1:N-1]$, the root $\rho$ is called a primitive $N^\mathrm{th}$ root of unity. With the properties mentioned above, it is easy to see that $\rho_N:=\exp(2 \pi i / N)$ is such a primitive $N^\mathrm{th}$ root of unity. Furthermore, all $N^\mathrm{th}$ roots of unity can be generated by considering the powers of $\rho_N$:

    +

    $$1=\rho_N^0, \quad \rho_N^1, \quad \rho_N^2, \quad ...,\quad \rho_N^{N-1}$$

    +

    The following plot shows all roots of unity for different integers $N \in \mathbb{N}_{>0}$. The primitive roots are indicated in red.

    -
    In [4]:
    +
    In [4]:
    -
    -
    from math import gcd
+
    
+
    from math import gcd
 
-def plot_vector(c, color='k', start=0, linestyle='-'):
-    """Plotting complex number as vector
+def plot_vector(c, color='k', start=0, linestyle='-'):
+    """Plotting complex number as vector
 
     Notebook: PCP_07_exp.ipynb
 
     Args:
         c: Complex number
-        color: Vector color (Default value = 'k')
+        color: Vector color (Default value = 'k')
         start: Start of vector (Default value = 0)
-        linestyle: Line Style of vector (Default value = '-')
-    """
+        linestyle: Line Style of vector (Default value = '-')
+    """
     return plt.arrow(np.real(start), np.imag(start), np.real(c), np.imag(c),
                      linestyle=linestyle, head_width=0.05,
                      fc=color, ec=color, overhang=0.3, length_includes_head=True)
 
 
 def plot_root_unity(N, ax):
-    """Plotting N-th root of unity into figure with axis
+    """Plotting N-th root of unity into figure with axis
 
     Notebook: PCP_07_exp.ipynb
 
     Args:
         N: Root number
         ax: Axis handle
-    """
+    """
     root_unity = np.exp(2j * np.pi / N)
     root_unity_power = 1
 
     ax.grid()
     ax.set_xlim([-1.4, 1.4])
     ax.set_ylim([-1.4, 1.4])
-    ax.set_xlabel('$\mathrm{Re}$')
-    ax.set_ylabel('$\mathrm{Im}$')
-    ax.set_title('Roots of unity for $N=%d$' % N)
+    ax.set_xlabel('$\mathrm{Re}$')
+    ax.set_ylabel('$\mathrm{Im}$')
+    ax.set_title('Roots of unity for $N=%d$' % N)
 
     for n in range(0, N):
-        colorPlot = 'r' if gcd(n, N) == 1 else 'k'
+        colorPlot = 'r' if gcd(n, N) == 1 else 'k'
         plot_vector(root_unity_power, color=colorPlot)
         ax.text(np.real(1.2*root_unity_power), np.imag(1.2*root_unity_power),
-                r'$\rho_{%s}^{%s}$' % (N, n), size='14',
-                color=colorPlot, ha='center', va='center')
+                r'$\rho_{%s}^{%s}$' % (N, n), size='14',
+                color=colorPlot, ha='center', va='center')
         root_unity_power *= root_unity
 
-    circle_unit = plt.Circle((0, 0), 1, color='lightgray', fill=0)
+    circle_unit = plt.Circle((0, 0), 1, color='lightgray', fill=0)
     ax.add_artist(circle_unit)
 
 plt.figure(figsize=(12, 4))
@@ -13466,61 +13442,45 @@ 
    Roots of Unityplot_root_unity(N=12, ax=ax)
 plt.tight_layout()
 
    
-
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    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    -

    Exercises and Results

    +

    Exercises and Results

    -
    In [5]:
    +
    In [5]:
    -
    -
    import libpcp.exp
+
    
+
    import libpcp.exp
 show_result = True
 
    
-
-
    - +
    -

    +

    -Exercise 1: Approximation of Exponential Function via Power Series
    +Exercise 1: Approximation of Exponential Function via Power Series
    Implement a function exp_power_series with input arguments $z\in\mathbb{C}$ and $N\in\mathbb{N}$, which outputs an approximation $\sum_{n=0}^{N} \frac{z^n}{n!}$ of $\exp(z)$. Similarly, implement a function exp_limit_compound that approximates $\exp(z)$ via $\left(1+\frac{z}{N}\right)^{N}$. Test the two functions for various input arguments and compare the results with the NumPy function np.exp. In particular, compare the approximation quality of exp_power_series and exp_limit_compound for increasing $N$ (fixing a complex number $z$).
    @@ -13528,40 +13488,31 @@

    Exercises and Results
    -
    In [6]:
    +
    In [6]:
    -
    -
    #<solution>
+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
-
-
    - +
    -
    In [7]:
    +
    In [7]:
    -
    -
    libpcp.exp.exercise_approx_exp(show_result=show_result)
+
    
+
    libpcp.exp.exercise_approx_exp(show_result=show_result)
 
    
-
-
    - +
    - -
    - -
    - - +
    Input argument z = 1
 N =   1, Numpy = 2.7182818285, Approx1 = 2.0000000000, Approx2 = 2.0000000000
@@ -13584,91 +13535,72 @@ 
    Exercises and Results
    -
    -
    -

    +

    -Exercise 2: Gaussian Function
    +Exercise 2: Gaussian Function
    Gaussian functions are often used in statistics to represent the probability density function of a normally distributed random variable with expected value $\mu$ and variance $\sigma^2$. For these parameters, the Gaussian function $g:\mathbb{R}\to \mathbb{R}$ is defined by -$$ +

    $$ g(x):= \frac{1}{\sigma\sqrt{2\pi}} \exp\left(-\frac{1}{2} \left(\frac{x-\mu}{\sigma} \right)^2 \right). -$$ - -Using np.exp, implement a function compute_gaussian_1D that inputs a NumPy array X (as well as input arguments for $\mu$ and $\sigma$) and evaluates the Gaussian function X in a point-wise fashion. Plot the result for an input vector and various choices of $\mu$ and $\sigma$. +$$

    +

    Using np.exp, implement a function compute_gaussian_1D that inputs a NumPy array X (as well as input arguments for $\mu$ and $\sigma$) and evaluates the Gaussian function X in a point-wise fashion. Plot the result for an input vector and various choices of $\mu$ and $\sigma$.

    -
    In [8]:
    +
    In [8]:
    -
    -
    #<solution>
+
    
+
    #<solution>
 # Your Solution
 #</solution>
 
    
-
-
    - +
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    In [9]:
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    In [9]:
    -
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    libpcp.exp.exercise_gaussian(show_result=show_result)
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    libpcp.exp.exercise_gaussian(show_result=show_result)
 
    
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    +

    -Exercise 3: Spiral Generation
    +Exercise 3: Spiral Generation
    Implement a function generate_spiral that generates a spiral of increasing radius (Hint: Make use of the exponential function). The function should have the following arguments:
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    • rad_start: Radius to start with
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    • rad_end: Radius to stop with
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    • num_rot: Number of rotations
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    • angle_start: Angle to start with (given in degrees)
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    • N: Number of data points to represent the spiral
      • +
    • rad_start: Radius to start with
      • +
    • rad_end: Radius to stop with
      • +
    • num_rot: Number of rotations
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    • angle_start: Angle to start with (given in degrees)
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    • N: Number of data points to represent the spiral
    Plot the spiral for various parameters.
    @@ -13677,68 +13609,49 @@

    Exercises and Results
    -
    In [10]:
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    In [10]:
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    #<solution>
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    #<solution>
 # Your Solution
 #</solution>
 
    
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    In [11]:
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    In [11]:
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    libpcp.exp.exercise_spiral(show_result=show_result)
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    libpcp.exp.exercise_spiral(show_result=show_result)
 
    
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    -PCP License +PCP License +
    +
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    +

    - - - - diff --git a/PCP_07_exp.ipynb b/PCP_07_exp.ipynb index 6c747ff..62438cb 100644 --- a/PCP_07_exp.ipynb +++ b/PCP_07_exp.ipynb @@ -64,29 +64,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:06.938660Z", - "iopub.status.busy": "2021-09-23T10:12:06.937252Z", - "iopub.status.idle": "2021-09-23T10:12:08.354950Z", - "shell.execute_reply": "2021-09-23T10:12:08.355748Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", @@ -147,29 +127,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:08.378841Z", - "iopub.status.busy": "2021-09-23T10:12:08.378073Z", - "iopub.status.idle": "2021-09-23T10:12:10.181700Z", - "shell.execute_reply": "2021-09-23T10:12:10.182387Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "from matplotlib import ticker \n", "%matplotlib inline\n", @@ -245,29 +205,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:10.202157Z", - "iopub.status.busy": "2021-09-23T10:12:10.201406Z", - "iopub.status.idle": "2021-09-23T10:12:11.233148Z", - "shell.execute_reply": "2021-09-23T10:12:11.233854Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def exp_approx_Euler(x_min=0, x_max=2, x_delta=0.01, f_0=1):\n", " \"\"\"Approximation of exponential function using Euler's method\n", @@ -343,29 +283,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:11.253903Z", - "iopub.status.busy": "2021-09-23T10:12:11.251380Z", - "iopub.status.idle": "2021-09-23T10:12:12.475203Z", - "shell.execute_reply": "2021-09-23T10:12:12.475904Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "from math import gcd\n", "\n", @@ -434,15 +354,8 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.491316Z", - "iopub.status.busy": "2021-09-23T10:12:12.490492Z", - "iopub.status.idle": "2021-09-23T10:12:12.496930Z", - "shell.execute_reply": "2021-09-23T10:12:12.497415Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.exp\n", @@ -462,15 +375,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.501717Z", - "iopub.status.busy": "2021-09-23T10:12:12.501006Z", - "iopub.status.idle": "2021-09-23T10:12:12.503560Z", - "shell.execute_reply": "2021-09-23T10:12:12.505447Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -480,41 +386,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.511822Z", - "iopub.status.busy": "2021-09-23T10:12:12.510888Z", - "iopub.status.idle": "2021-09-23T10:12:12.513769Z", - "shell.execute_reply": "2021-09-23T10:12:12.514531Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Input argument z = 1\n", - "N = 1, Numpy = 2.7182818285, Approx1 = 2.0000000000, Approx2 = 2.0000000000\n", - "N = 2, Numpy = 2.7182818285, Approx1 = 2.5000000000, Approx2 = 2.2500000000\n", - "N = 4, Numpy = 2.7182818285, Approx1 = 2.7083333333, Approx2 = 2.4414062500\n", - "N = 8, Numpy = 2.7182818285, Approx1 = 2.7182787698, Approx2 = 2.5657845140\n", - "N = 16, Numpy = 2.7182818285, Approx1 = 2.7182818285, Approx2 = 2.6379284974\n", - "N = 32, Numpy = 2.7182818285, Approx1 = 2.7182818285, Approx2 = 2.6769901294\n", - "Input argument z = (2.0, 0.7)\n", - "N = 1, Numpy = (5.651462, 4.760161), Approx1 = (3.000000, 0.700000), Approx2 = (3.000000, 0.700000)\n", - "N = 2, Numpy = (5.651462, 4.760161), Approx1 = (4.755000, 2.100000), Approx2 = (3.877500, 1.400000)\n", - "N = 4, Numpy = (5.651462, 4.760161), Approx1 = (5.785004, 4.261833), Approx2 = (4.650000, 2.330344)\n", - "N = 8, Numpy = (5.651462, 4.760161), Approx1 = (5.654404, 4.760077), Approx2 = (5.152687, 3.223932)\n", - "N = 16, Numpy = (5.651462, 4.760161), Approx1 = (5.651462, 4.760161), Approx2 = (5.415734, 3.881969)\n", - "N = 32, Numpy = (5.651462, 4.760161), Approx1 = (5.651462, 4.760161), Approx2 = (5.540143, 4.288473)\n", - "N = 64, Numpy = (5.651462, 4.760161), Approx1 = (5.651462, 4.760161), Approx2 = (5.597987, 4.515429)\n", - "N = 128, Numpy = (5.651462, 4.760161), Approx1 = (5.651462, 4.760161), Approx2 = (5.625352, 4.635473)\n", - "N = 256, Numpy = (5.651462, 4.760161), Approx1 = (5.651462, 4.760161), Approx2 = (5.638575, 4.697223)\n", - "N = 512, Numpy = (5.651462, 4.760161), Approx1 = (5.651462, 4.760161), Approx2 = (5.645062, 4.728542)\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.exp.exercise_approx_exp(show_result=show_result)" ] @@ -538,15 +412,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.518810Z", - "iopub.status.busy": "2021-09-23T10:12:12.517987Z", - "iopub.status.idle": "2021-09-23T10:12:12.521179Z", - "shell.execute_reply": "2021-09-23T10:12:12.520402Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -556,29 +423,9 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.536266Z", - "iopub.status.busy": "2021-09-23T10:12:12.530926Z", - "iopub.status.idle": "2021-09-23T10:12:12.838564Z", - "shell.execute_reply": "2021-09-23T10:12:12.839256Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.exp.exercise_gaussian(show_result=show_result)" ] @@ -604,15 +451,8 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.845632Z", - "iopub.status.busy": "2021-09-23T10:12:12.843095Z", - "iopub.status.idle": "2021-09-23T10:12:12.847566Z", - "shell.execute_reply": "2021-09-23T10:12:12.848396Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -622,29 +462,9 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:12.862333Z", - "iopub.status.busy": "2021-09-23T10:12:12.857986Z", - "iopub.status.idle": "2021-09-23T10:12:13.519898Z", - "shell.execute_reply": "2021-09-23T10:12:13.520582Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.exp.exercise_spiral(show_result=show_result)" ] @@ -676,7 +496,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/PCP_08_signal.html b/PCP_08_signal.html index 4f7cb7b..dedabd3 100644 --- a/PCP_08_signal.html +++ b/PCP_08_signal.html @@ -1,16 +1,90 @@ - - - -PCP_08_signal - - - - - + + + +PCP_08_signal + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
    -
    - +
    +
    +
    -PCP Teaser +PCP Teaser
    @@ -13091,15 +13097,15 @@
    -

    Unit 8: Signals and Sampling

    @@ -13107,12 +13113,10 @@

    Unit 8: Signals and Sampling
    -

    +

    Overview and Learning Objectives

    - -In technical fields such as engineering or computer science, a signal may be defined as a function that conveys information about the state or behavior of a physical system. For example, a signal may describe the time-varying sound pressure at some place, the motion of a particle through some space, the distribution of light on a screen representing an image, or the sequence of images as in the case of a video signal. In this unit, we consider the case of sound or audio signals, which may be represented graphically by a plot that shows the relative air pressure (with respect to a reference air pressure) over time. In some way, a sinusoid of a given frequency may be thought of as a prototype of an audio signal. We start this unit by formally defining a signal as a mathematical function. Interleaving theory with practice, we then provide a Python function to generate a sinusoid with different parameters (duration, amplitude, frequency, phase, sampling rate), which you can look at via a plot and listen to via audio playback. To digitally compute with signals, one typically needs to convert a signal given on a continuous-time axis into one given on a discrete-time axis—a process commonly referred to as sampling. While providing a Python function that performs some equidistant sampling, we also discuss the kind of information that may be lost in the sampling process. This leads us to topics related to aliasing and the sampling theorem. Finally, using sinusoidal signals as an example, we cover the phenomena of constructive and destructive interference. In the exercises, we further deepen these aspects by studying the phenomenon known as beating and by looking at further examples illustrating aliasing. We assume that you are familiar with these fundamental concepts that are typically taught in an introductory signal processing course. Besides reviewing these concepts, another main learning objective of this unit is to show you how to generate and use multimedia objects (e.g., audio, image, and video objects) within the Jupyter notebook framework. In particular, in fields such as multimedia engineering, the interaction with concrete multimedia objects (e.g., sound examples) will help you move from recalling and reciting theoretical concepts towards comprehension and application. Following similar educational considerations, you may find additional material in the FMP Notebooks for teaching and learning fundamentals of music processing. In particular, the FMP Notebook on Sampling and the FMP Notebook on Interference and Beating have served as basis for this unit. - +

    In technical fields such as engineering or computer science, a signal may be defined as a function that conveys information about the state or behavior of a physical system. For example, a signal may describe the time-varying sound pressure at some place, the motion of a particle through some space, the distribution of light on a screen representing an image, or the sequence of images as in the case of a video signal. In this unit, we consider the case of sound or audio signals, which may be represented graphically by a plot that shows the relative air pressure (with respect to a reference air pressure) over time. In some way, a sinusoid of a given frequency may be thought of as a prototype of an audio signal. We start this unit by formally defining a signal as a mathematical function. Interleaving theory with practice, we then provide a Python function to generate a sinusoid with different parameters (duration, amplitude, frequency, phase, sampling rate), which you can look at via a plot and listen to via audio playback. To digitally compute with signals, one typically needs to convert a signal given on a continuous-time axis into one given on a discrete-time axis—a process commonly referred to as sampling. While providing a Python function that performs some equidistant sampling, we also discuss the kind of information that may be lost in the sampling process. This leads us to topics related to aliasing and the sampling theorem. Finally, using sinusoidal signals as an example, we cover the phenomena of constructive and destructive interference. In the exercises, we further deepen these aspects by studying the phenomenon known as beating and by looking at further examples illustrating aliasing. We assume that you are familiar with these fundamental concepts that are typically taught in an introductory signal processing course. Besides reviewing these concepts, another main learning objective of this unit is to show you how to generate and use multimedia objects (e.g., audio, image, and video objects) within the Jupyter notebook framework. In particular, in fields such as multimedia engineering, the interaction with concrete multimedia objects (e.g., sound examples) will help you move from recalling and reciting theoretical concepts towards comprehension and application. Following similar educational considerations, you may find additional material in the FMP Notebooks for teaching and learning fundamentals of music processing. In particular, the FMP Notebook on Sampling and the FMP Notebook on Interference and Beating have served as basis for this unit.

    @@ -13120,23 +13124,22 @@

    Overview and Learning Objectives

    -

    -

    Signals

    A sound is generated by a vibrating object such as the vocal cords of a singer, the string and soundboard of a violin, or the diaphragm of a kettledrum. In signal processing, such a sound is typically represented by a function or signal $f\colon\mathbb{R}\to\mathbb{R}$, which encodes the sound's air pressure changes over time. The signal is called periodic if its values repeat at regular intervals. Intuitively speaking, the period of the signal is defined as the time required to complete a cycle. The frequency, measured in Hertz (Hz), is the reciprocal of the period. The prototype of such a periodic signal is a sinusoid, which is specified by its frequency, its amplitude (the peak deviation of the sinusoid from its mean), and its phase (determining where in its cycle the sinusoid is at time zero). In the following code cell, we provide a function for generating a sinusoid.

    - +

    +

    Signals

    A sound is generated by a vibrating object such as the vocal cords of a singer, the string and soundboard of a violin, or the diaphragm of a kettledrum. In signal processing, such a sound is typically represented by a function or signal $f\colon\mathbb{R}\to\mathbb{R}$, which encodes the sound's air pressure changes over time. The signal is called periodic if its values repeat at regular intervals. Intuitively speaking, the period of the signal is defined as the time required to complete a cycle. The frequency, measured in Hertz (Hz), is the reciprocal of the period. The prototype of such a periodic signal is a sinusoid, which is specified by its frequency, its amplitude (the peak deviation of the sinusoid from its mean), and its phase (determining where in its cycle the sinusoid is at time zero). In the following code cell, we provide a function for generating a sinusoid.

    -
    In [1]:
    +
    In [1]:
    -
    -
    import numpy as np
+
    
+
    import numpy as np
 from matplotlib import pyplot as plt
 %matplotlib inline
 
 def generate_sinusoid(dur=1, amp=1, freq=1, phase=0, Fs=100):
-    """Generation of sinusoid
+    """Generation of sinusoid
 
     Notebook: PCP_08_signal.ipynb
 
@@ -13150,7 +13153,7 @@ 
    Signals
        Returns:
         x: Signal
         t: Time axis (in seconds)
-    """
+    """
     num_samples = int(Fs * dur)
     t = np.arange(num_samples) / Fs
     x = amp * np.sin(2 * np.pi * (freq * t - phase))
@@ -13162,57 +13165,42 @@ 
    Signals
    x, t = generate_sinusoid(dur=5, amp=amp, freq=freq, phase=phase, Fs=1000)
 
 plt.figure(figsize=(8, 2.5))
-plt.plot(t, x, color='blue', linewidth=2.0, linestyle='-')
+plt.plot(t, x, color='blue', linewidth=2.0, linestyle='-')
 plt.xlim([0, t[-1]])
 plt.ylim([-amp*1.2, amp*1.2])
-plt.xlabel('Time (seconds)')
-plt.ylabel('Amplitude')
-plt.title('Sinusoid with freq = %.1f, amp = %.1f, and phase = %.1f' % (freq, amp, phase))
+plt.xlabel('Time (seconds)')
+plt.ylabel('Amplitude')
+plt.title('Sinusoid with freq = %.1f, amp = %.1f, and phase = %.1f' % (freq, amp, phase))
 plt.grid()
 plt.tight_layout()
 
    
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    Interpreted as audio signal, one may listen to the sound of a sinusoid as long as its frequency lies in the human hearing range (roughly between $20$ and $20,000~\mathrm{Hz}$). To integrate an audio signal into a Jupyter notebook, we can use the module IPython.display, which is an application programming interface (API) for displaying various tools in IPython. As for audio, one can use the class IPython.display.Audio, which creates an in-browser audio player. In the following code cell, this functionality is demonstrated using a sinusoid of $440~\mathrm{Hz}$.

    -
    -
    In [2]:
    +
    In [2]:
    -
    -
    import IPython.display as ipd
+
    
+
    import IPython.display as ipd
 
 Fs = 4000
 dur = 1
@@ -13220,56 +13208,43 @@ 
    Signals
    ipd.display(ipd.Audio(x, rate=Fs))
 
    
-
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    -

    Sampling

    In digital signal processing, one often reduces a continuous-time (CT) signal $f\colon\mathbb{R}\to\mathbb{R}$ into a discrete-time (DT) signal $x\colon\mathbb{Z}\to\mathbb{R}$ by a procedure known as equidistant sampling. Fixing a positive real number $T>0$, the DT-signal $x$ is obtained by setting

    -\begin{equation} +

    +

    Sampling

    In digital signal processing, one often reduces a continuous-time (CT) signal $f\colon\mathbb{R}\to\mathbb{R}$ into a discrete-time (DT) signal $x\colon\mathbb{Z}\to\mathbb{R}$ by a procedure known as equidistant sampling. Fixing a positive real number $T>0$, the DT-signal $x$ is obtained by setting

    +

    \begin{equation} x(n):= f(n \cdot T) -\end{equation}

    for $n\in\mathbb{Z}$. The value $x(n)$ is called the sample taken at time $t=n\cdot T$ of the original analog signal $f$. In short, this procedure is also called $T$-sampling. The number $T$ is referred to as the sampling period and the inverse $F_\mathrm{s}:=1/T$ as the sampling rate. The sampling rate specifies the number of samples per second and is measured in Hertz (Hz).

    +\end{equation}

    +

    for $n\in\mathbb{Z}$. The value $x(n)$ is called the sample taken at time $t=n\cdot T$ of the original analog signal $f$. In short, this procedure is also called $T$-sampling. The number $T$ is referred to as the sampling period and the inverse $F_\mathrm{s}:=1/T$ as the sampling rate. The sampling rate specifies the number of samples per second and is measured in Hertz (Hz).

    In the following code cell, we start with a CT-signal $f$ that is defined via linear interpolation of a DT-signal sampled at a high sampling rate (generated by the generate_example_function). In the plot, this CT-signal is visualized as black curve. Applying equidistant sampling (sampling_equidistant), we obtain the DT-signal visualized as the red stem plot.

    -
    -
    In [3]:
    +
    In [3]:
    -
    -
    def generate_example_signal(dur=1, Fs=100):
-    """Generate example signal
+
    
+
    def generate_example_signal(dur=1, Fs=100):
+    """Generate example signal
 
     Notebook: PCP_08_signal.ipynb
 
@@ -13280,7 +13255,7 @@ 
    Sampling
        Returns:
         x: Signal
         t: Time axis (in seconds)
-    """
+    """
     N = int(Fs * dur)
     t = np.arange(N) / Fs
     x = 1 * np.sin(2 * np.pi * (1.9 * t - 0.3))
@@ -13289,7 +13264,7 @@ 
    Sampling
    return x, t
 
 def sampling_equidistant(x_1, t_1, Fs_2, dur=None):
-    """Equidistant sampling of interpolated signal
+    """Equidistant sampling of interpolated signal
 
     Notebook: PCP_08_signal.ipynb
 
@@ -13302,7 +13277,7 @@ 
    Sampling
        Returns:
         x_2: Sampled signal
         t_2: time axis (in seconds) of sampled signal
-    """
+    """
     if dur is None:
         dur = len(t_1) * t_1[1]
     N = int(Fs_2 * dur)
@@ -13317,125 +13292,100 @@ 
    Sampling
    x_2, t_2 = sampling_equidistant(x_1, t_1, Fs_2)
     
 plt.figure(figsize=(8, 2.2))
-plt.plot(t_1, x_1, 'k')
-plt.title('Original CT-signal')
-plt.xlabel('Time (seconds)')
+plt.plot(t_1, x_1, 'k')
+plt.title('Original CT-signal')
+plt.xlabel('Time (seconds)')
 plt.ylim([-1.8, 1.8])
 plt.xlim([t_1[0], t_1[-1]])
 plt.tight_layout()
 
 plt.figure(figsize=(8, 2.2))
-plt.stem(t_2, x_2, linefmt='r', markerfmt='ro', basefmt='None', use_line_collection=True)
-plt.plot(t_1, x_1, 'k', linewidth=1, linestyle='dotted')
-plt.title(r'DT-Signal obtained by sampling with $F_\mathrm{s} = %.0f$' % Fs_2)
-plt.xlabel('Time (seconds)')
+plt.stem(t_2, x_2, linefmt='r', markerfmt='ro', basefmt='None', use_line_collection=True)
+plt.plot(t_1, x_1, 'k', linewidth=1, linestyle='dotted')
+plt.title(r'DT-Signal obtained by sampling with $F_\mathrm{s} = %.0f$' % Fs_2)
+plt.xlabel('Time (seconds)')
 plt.ylim([-1.8, 1.8])
 plt.xlim([t_1[0], t_1[-1]])
 plt.tight_layout()
 
 plt.figure(figsize=(8, 2.2))
-plt.stem(x_2, linefmt='r', markerfmt='ro', basefmt='None', use_line_collection=True)
-plt.title(r'DT-Signal')
-plt.xlabel('Time (samples)')
+plt.stem(x_2, linefmt='r', markerfmt='ro', basefmt='None', use_line_collection=True)
+plt.title(r'DT-Signal')
+plt.xlabel('Time (samples)')
 plt.ylim([-1.8, 1.8])
 plt.xlim([0, len(t_2)])
 plt.tight_layout()
 
    
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    /tmp/ipykernel_113893/179150075.py:58: MatplotlibDeprecationWarning: The 'use_line_collection' parameter of stem() was deprecated in Matplotlib 3.6 and will be removed two minor releases later. If any parameter follows 'use_line_collection', they should be passed as keyword, not positionally.
+  plt.stem(t_2, x_2, linefmt='r', markerfmt='ro', basefmt='None', use_line_collection=True)
+/tmp/ipykernel_113893/179150075.py:67: MatplotlibDeprecationWarning: The 'use_line_collection' parameter of stem() was deprecated in Matplotlib 3.6 and will be removed two minor releases later. If any parameter follows 'use_line_collection', they should be passed as keyword, not positionally.
+  plt.stem(x_2, linefmt='r', markerfmt='ro', basefmt='None', use_line_collection=True)
+
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    -

    Aliasing

    In general, sampling is a lossy operation in the sense that information is lost in this process and that the original CT-signal cannot be recovered from its sampled version. Only if the CT-signal has additional properties in terms of its frequency spectrum (it needs to be bandlimited), a perfect reconstruction is possible. This is the assertion of the famous sampling theorem. The sampling theorem also shows how the original CT-signal can be reconstructed by superimposing suitably shifted $\mathrm{sinc}$-functions weighted by the samples of the DT-signal.

    -


    +

    +

    Aliasing

    In general, sampling is a lossy operation in the sense that information is lost in this process and that the original CT-signal cannot be recovered from its sampled version. Only if the CT-signal has additional properties in terms of its frequency spectrum (it needs to be bandlimited), a perfect reconstruction is possible. This is the assertion of the famous sampling theorem. The sampling theorem also shows how the original CT-signal can be reconstructed by superimposing suitably shifted $\mathrm{sinc}$-functions weighted by the samples of the DT-signal.

    +
    -Recap: Sampling Theorem
    -The sampling theorem, which is often associated with the names Harry Nyquist and Claude Shannon, states that a continuous-time (CT) signal that is bandlimited can be reconstructed perfectly under certain conditions. More precisely, a CT-signal $f\in L^2(\mathbb{R})$ is called $\Omega$-bandlimited if the Fourier transform $\hat{f}$ vanishes for $|\omega|>\Omega$ (i.e., $\hat{f}(\omega) = 0$ for $|\omega|>\Omega$). Let $f\in L^2(\mathbb{R})$ be an $\Omega$-bandlimited function and let $x$ be the $T$-sampled version of $f$ with $T:=1/(2\Omega)$ (i.e., $x(n)=f(nT)$, $n\in\mathbb{Z}$). Then $f$ can be reconstructed from $x$ by +Recap: Sampling Theorem
    +The sampling theorem, which is often associated with the names Harry Nyquist and Claude Shannon, states that a continuous-time (CT) signal that is bandlimited can be reconstructed perfectly under certain conditions. More precisely, a CT-signal $f\in L^2(\mathbb{R})$ is called $\Omega$-bandlimited if the Fourier transform $\hat{f}$ vanishes for $|\omega|>\Omega$ (i.e., $\hat{f}(\omega) = 0$ for $|\omega|>\Omega$). Let $f\in L^2(\mathbb{R})$ be an $\Omega$-bandlimited function and let $x$ be the $T$-sampled version of $f$ with $T:=1/(2\Omega)$ (i.e., $x(n)=f(nT)$, $n\in\mathbb{Z}$). Then $f$ can be reconstructed from $x$ by -$$ +

    $$ f(t)=\sum_{n\in\mathbb{Z}}x(n)\mathrm{sinc}\left(\frac{t-nT}{T}\right) =\sum_{n\in\mathbb{Z}}f\left(\frac{n}{2\Omega}\right) \mathrm{sinc}\left(2\Omega t-n\right), -$$ - -where the $\mathrm{sinc}$-function is defined as - -\begin{equation} +$$

    +

    where the $\mathrm{sinc}$-function is defined as

    +

    \begin{equation} \mathrm{sinc}(t):=\left\{\begin{array}{ll} - \frac{\sin \pi t}{\pi t},&\mbox{ if $t\not= 0$,}\\ - 1,&\mbox{ if $t= 0$.} + \frac{\sin \pi t}{\pi t},&\mbox{ if $t\not= 0$,}\\ + 1,&\mbox{ if $t= 0$.} \end{array}\right. -\end{equation} - -In other words, the CT-signal $f$ can be perfectly reconstructed from the DT-signal obtained by equidistant sampling if the bandlimit is no greater than half the sampling rate. This reconstruction based on the $\mathrm{sinc}$-function has been used in the function `reconstruction_sinc`. -

    Without additional properties, sampling may cause an effect known as aliasing where certain frequency components of the signal become indistinguishable. This effect is illustrated by the following figure. Using a high sampling rate, the original CT-signal can be reconstructed with high accuracy. However, when decreasing the sampling rate, the higher-frequency components are not captured well and only a coarse approximation of the original signal remains. This phenomenon is demonstrated by the following example.

    - +\end{equation}

    +

    In other words, the CT-signal $f$ can be perfectly reconstructed from the DT-signal obtained by equidistant sampling if the bandlimit is no greater than half the sampling rate. This reconstruction based on the $\mathrm{sinc}$-function has been used in the function reconstruction_sinc.

    +
    +

    Without additional properties, sampling may cause an effect known as aliasing where certain frequency components of the signal become indistinguishable. This effect is illustrated by the following figure. Using a high sampling rate, the original CT-signal can be reconstructed with high accuracy. However, when decreasing the sampling rate, the higher-frequency components are not captured well and only a coarse approximation of the original signal remains. This phenomenon is demonstrated by the following example.

    -
    In [4]:
    +
    In [4]:
    -
    -
    def reconstruction_sinc(x, t, t_sinc):
-    """Reconstruction from sampled signal using sinc-functions
+
    
+
    def reconstruction_sinc(x, t, t_sinc):
+    """Reconstruction from sampled signal using sinc-functions
 
     Notebook: PCP_08_signal.ipynb
 
@@ -13446,7 +13396,7 @@ 
    Aliasing
        Returns:
         x_sinc: Reconstructed signal having time axis t_sinc
-    """
+    """
     Fs = 1 / t[1]
     x_sinc = np.zeros(len(t_sinc))
     for n in range(0, len(t)):
@@ -13454,7 +13404,7 @@ 
    Aliasing
    return x_sinc
 
 def plot_signal_reconstructed(t_1, x_1, t_2, x_2, t_sinc, x_sinc, figsize=(8, 2.2)):
-    """Plotting three signals
+    """Plotting three signals
 
     Notebook: PCP_08_signal.ipynb
 
@@ -13466,16 +13416,16 @@ 
    Aliasing
            t_sinc: Time axis for reconstructed signal
         x_sinc: Reconstructed signal
         figsize: Figure size (Default value = (8, 2.2))
-    """
+    """
     plt.figure(figsize=figsize)
-    plt.plot(t_1, x_1, 'k', linewidth=1, linestyle='dotted', label='Orignal signal')
-    plt.stem(t_2, x_2, linefmt='r:', markerfmt='r.', basefmt='None', label='Samples', use_line_collection=True)
-    plt.plot(t_sinc, x_sinc, 'b', label='Reconstructed signal')
-    plt.title(r'Sampling rate $F_\mathrm{s} = %.0f$' % (1/t_2[1]))
-    plt.xlabel('Time (seconds)')
+    plt.plot(t_1, x_1, 'k', linewidth=1, linestyle='dotted', label='Orignal signal')
+    plt.stem(t_2, x_2, linefmt='r:', markerfmt='r.', basefmt='None', label='Samples', use_line_collection=True)
+    plt.plot(t_sinc, x_sinc, 'b', label='Reconstructed signal')
+    plt.title(r'Sampling rate $F_\mathrm{s} = %.0f$' % (1/t_2[1]))
+    plt.xlabel('Time (seconds)')
     plt.ylim([-1.8, 1.8])
     plt.xlim([t_1[0], t_1[-1]])
-    plt.legend(loc='upper right', framealpha=1)
+    plt.legend(loc='upper right', framealpha=1)
     plt.tight_layout()
     plt.show()
 
@@ -13497,80 +13447,55 @@ 
    Aliasing
    x_sinc = reconstruction_sinc(x_2, t_2, t_sinc)
 plot_signal_reconstructed(t_1, x_1, t_2, x_2, t_sinc, x_sinc)
 
    
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    /tmp/ipykernel_113893/2577615110.py:36: MatplotlibDeprecationWarning: The 'use_line_collection' parameter of stem() was deprecated in Matplotlib 3.6 and will be removed two minor releases later. If any parameter follows 'use_line_collection', they should be passed as keyword, not positionally.
+  plt.stem(t_2, x_2, linefmt='r:', markerfmt='r.', basefmt='None', label='Samples', use_line_collection=True)
+
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    Interference

    In signal processing, interference occurs when a wave is superimposed with another wave that has the same or nearly the same frequency. When a crest of one wave meets a crest of the other wave at some point, then the individual magnitudes add up for a certain period of time, which is known as constructive interference. Vice versa, when a crest of one wave meets a trough of the other wave, then the magnitudes cancel out for a certain period of time, which is known as destructive interference. We illustrate these phenomena in the following code cell.

    - +

    +

    Interference

    In signal processing, interference occurs when a wave is superimposed with another wave that has the same or nearly the same frequency. When a crest of one wave meets a crest of the other wave at some point, then the individual magnitudes add up for a certain period of time, which is known as constructive interference. Vice versa, when a crest of one wave meets a trough of the other wave, then the magnitudes cancel out for a certain period of time, which is known as destructive interference. We illustrate these phenomena in the following code cell.

    -
    In [5]:
    +
    In [5]:
    -
    -
    def plot_interference(t, x1, x2, figsize=(8, 2), xlim=None, ylim=None, title=''):
-    """Plotting two signals and its superposition
+
    
+
    def plot_interference(t, x1, x2, figsize=(8, 2), xlim=None, ylim=None, title=''):
+    """Plotting two signals and its superposition
 
     Notebook: PCP_08_signal.ipynb
 
@@ -13581,224 +13506,156 @@ 
    Interference&#
         figsize: Figure size (Default value = (8, 2))
         xlim: x-Axis limits (Default value = None)
         ylim: y-Axis limits (Default value = None)
-        title: Figure title (Default value = '')
-    """    
+        title: Figure title (Default value = '')
+    """    
     plt.figure(figsize=(8, 2))
-    plt.plot(t, x1, color='gray', linewidth=1.0, linestyle='-', label='x1')
-    plt.plot(t, x2, color='cyan', linewidth=1.0, linestyle='-', label='x2')
-    plt.plot(t, x1+x2, color='red', linewidth=2.0, linestyle='-', label='x1+x2')
+    plt.plot(t, x1, color='gray', linewidth=1.0, linestyle='-', label='x1')
+    plt.plot(t, x2, color='cyan', linewidth=1.0, linestyle='-', label='x2')
+    plt.plot(t, x1+x2, color='red', linewidth=2.0, linestyle='-', label='x1+x2')
     if xlim is None:
         plt.xlim([0, t[-1]])
     else:
         plt.xlim(xlim)
     if ylim is not None:
         plt.ylim(ylim)
-    plt.xlabel('Time (seconds)')
-    plt.ylabel('Amplitude')
+    plt.xlabel('Time (seconds)')
+    plt.ylabel('Amplitude')
     plt.title(title)
-    plt.legend(loc='upper right')
+    plt.legend(loc='upper right')
     plt.tight_layout()
     plt.show()
 
 dur = 5
 x1, t = generate_sinusoid(dur=dur, Fs=100, amp=1, freq=1.05, phase=0.0)
 x2, t = generate_sinusoid(dur=dur, Fs=100, amp=1, freq=0.95, phase=0.8)
-plot_interference(t, x1, x2, xlim=[0, dur], ylim=[-2.2,2.2], title='Constructive Interference')
+plot_interference(t, x1, x2, xlim=[0, dur], ylim=[-2.2,2.2], title='Constructive Interference')
 
 dur = 5
 x1, t = generate_sinusoid(dur=dur, Fs=100, amp=1, freq=1.05, phase=0.0)
 x2, t = generate_sinusoid(dur=dur, Fs=100, amp=1, freq=1.00, phase=0.4)
-plot_interference(t, x1, x2, xlim=[0, dur], ylim=[-2.2,2.2], title='Destructive Interference')
+plot_interference(t, x1, x2, xlim=[0, dur], ylim=[-2.2,2.2], title='Destructive Interference')
 
    
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    Exercises and Results

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 show_result = True
 
    
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    -Exercise 1: Beating
    +Exercise 1: Beating
    Let $f_1(t)=\sin(2\pi \omega_1 t)$ and $f_2(t)=\sin(2\pi \omega_2 t)$ be two sinusoids with distinct but nearby frequencies $\omega_1\approx\omega_2$. The superposition $f_1+f_2$ of these two sinusoids results in a function that looks like a single sine wave with a slowly varying amplitude, a phenomenon also known as beating. Mathematically, this phenomenon results from a trigonometric identity yielding -$$ +

    $$ \sin(2\pi \omega_1 t)+\sin(2\pi \omega_2 t)= 2\cos\left(2\pi\frac{\omega_1-\omega_2}{2}t\right)\sin\left(2\pi\frac{\omega_1+\omega_2}{2}t\right). -$$ - -If the difference $\omega_1-\omega_2$ is small, the cosine term has a low frequency compared to the sine term. As a result the signal $f_1+f_2$ can be seen as a sine wave of frequency $(\omega_1+\omega_2)/2$ with a slowly varying amplitude envelope of frequency $|\omega_1-\omega_2|$. Note that this rate is twice the frequency $(\omega_1-\omega_2)/2$ of the cosine term. -

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    • Use the functions generate_sinusoid and plot_interference to illustrate the beating effect for various parameters $\omega_1$ and $\omega_2$.
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      If the difference $\omega_1-\omega_2$ is small, the cosine term has a low frequency compared to the sine term. As a result the signal $f_1+f_2$ can be seen as a sine wave of frequency $(\omega_1+\omega_2)/2$ with a slowly varying amplitude envelope of frequency $|\omega_1-\omega_2|$. Note that this rate is twice the frequency $(\omega_1-\omega_2)/2$ of the cosine term.

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      • Use the functions generate_sinusoid and plot_interference to illustrate the beating effect for various parameters $\omega_1$ and $\omega_2$.
      • In particular, consider $\omega_1=200$ and $\omega_2=203$ to generate a superimposed signal x at a sampling rate of Fs=4000. Listen to x using ipd.display(ipd.Audio(x, rate=Fs)).
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    -Exercise 2: Aliasing with Sinsuoids
    +Exercise 2: Aliasing with Sinsuoids
    First, using x, t = generate_sinusoid(dur=2, Fs=128, freq=10), generate a sinusoid of frequency $\omega=10~\mathrm{Hz}$ at Fs=128 to mimic a CT-signal. Then, use the function sampling_equidistant to successively decrease the sampling rate using [64, 32, 20, 16, 12, 8, 4]. Visualize the result via plot_signal_reconstructed and discuss your observations.
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    -Exercise 3: Visual Aliasing
    +Exercise 3: Visual Aliasing
    Aliasing effects occur also in other areas such as the visual domain. One famous example is the wagon-wheel effect, where a wheel appears to rotate at a slower speed or even backwards when the speed is actually increasing. Identify some YouTube videos that illustrate this effect. Furthermore, integrate the video into your notebooks. To this end, do the following:
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    - - - - diff --git a/PCP_08_signal.ipynb b/PCP_08_signal.ipynb index 9c1c13b..2253e65 100644 --- a/PCP_08_signal.ipynb +++ b/PCP_08_signal.ipynb @@ -52,29 +52,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:37.612292Z", - "iopub.status.busy": "2021-09-23T10:11:37.611606Z", - "iopub.status.idle": "2021-09-23T10:11:38.328150Z", - "shell.execute_reply": "2021-09-23T10:11:38.328829Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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"2021-09-23T10:11:38.373948Z", - "iopub.status.busy": "2021-09-23T10:11:38.367889Z", - "iopub.status.idle": "2021-09-23T10:11:39.225617Z", - "shell.execute_reply": "2021-09-23T10:11:39.226343Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def generate_example_signal(dur=1, Fs=100):\n", " \"\"\"Generate example signal\n", @@ -343,53 +254,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:39.248730Z", - "iopub.status.busy": "2021-09-23T10:11:39.247399Z", - "iopub.status.idle": "2021-09-23T10:11:39.885950Z", - "shell.execute_reply": "2021-09-23T10:11:39.886637Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def reconstruction_sinc(x, t, t_sinc):\n", " \"\"\"Reconstruction from sampled signal using sinc-functions\n", @@ -467,41 +334,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:39.906979Z", - "iopub.status.busy": "2021-09-23T10:11:39.903639Z", - "iopub.status.idle": "2021-09-23T10:11:40.277379Z", - "shell.execute_reply": "2021-09-23T10:11:40.278104Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def plot_interference(t, x1, x2, figsize=(8, 2), xlim=None, ylim=None, title=''):\n", " \"\"\"Plotting two signals and its superposition\n", @@ -554,15 +389,8 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:40.284803Z", - "iopub.status.busy": "2021-09-23T10:11:40.282153Z", - "iopub.status.idle": "2021-09-23T10:11:40.288276Z", - "shell.execute_reply": "2021-09-23T10:11:40.288954Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.signal\n", @@ -593,15 +421,8 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:40.293977Z", - "iopub.status.busy": "2021-09-23T10:11:40.292808Z", - "iopub.status.idle": "2021-09-23T10:11:40.295113Z", - "shell.execute_reply": "2021-09-23T10:11:40.295892Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -611,70 +432,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:40.305913Z", - "iopub.status.busy": "2021-09-23T10:11:40.304790Z", - "iopub.status.idle": "2021-09-23T10:11:41.055835Z", - "shell.execute_reply": "2021-09-23T10:11:41.056521Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.signal.exercise_aliasing_sinus(show_result=show_result) " ] @@ -838,15 +487,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:42.780942Z", - "iopub.status.busy": "2021-09-23T10:11:42.780126Z", - "iopub.status.idle": "2021-09-23T10:11:42.782432Z", - "shell.execute_reply": "2021-09-23T10:11:42.784474Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -856,38 +498,9 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:42.789601Z", - "iopub.status.busy": "2021-09-23T10:11:42.788895Z", - "iopub.status.idle": "2021-09-23T10:11:42.962079Z", - "shell.execute_reply": "2021-09-23T10:11:42.962858Z" - } - }, - "outputs": [ - { - "data": { - "image/jpeg": 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t1qFnlZzzOzOx8XJY/wDNU2smmqT6/psH+lEpHhCrSn79l/Go267R1QkW1sTvsZnwPYeRPyzWd16UVNqtt92jalJss4gX7MCKh+LkFj99QFxczXLEzSySsfGV2k/nHam8UVP7VMdBUEtoHDkbkd85A22Tb8a1zhA6Rp/IwtoXkHWSUd62f5WwrJLVn8CakoM43qdDo1u3fuk5IV5cdAgCr9wqp692yX02eVuXPvNZN36r1NITaiB6oqbWRN8VapNfo6zOX5x4/h+NXb5C2sdzq9xYyHa8tn5Qf9bbESD492X+6sw0yO4u37u2ilmc9VjUuR7yBhfcTWxfJ67Jr5NYtL5rm0tmt5O8a1aUS3EqcrI6lYvRj9FvtHpWM/8AtNOuGNl26a7Q+zWw1mBoriNVfB7q4VQZYW2IaMnpuBtWS6R8k62D5uNTnkjzssVvHE7Z+0zMRn3Cuk7m2kVGMYUuFJUMThmA2BI3rmnjTth1iOWSACC0eNijBIizjyPNK2PDriuM47HW5ytI4a+T7w/aEMbQ3UikENdzSTbj+JkJ+FaHAtlp6hVW1s0PRVEUCnHljrUD2JcV/wCE7FGlYPcxehOcblh9aoj5Seld5p4uFGWtn5jgZ9A7N8K6/j624770vNvr9o7BEuYHdvVRZULH3AHrUqM+Vcb9n2oyrfWkqJI6xzxlisbsvLkAklF8ia7EOoQ9DLGCR6pdQ36pOaY4ymXRI30XMV72PmBxymRQ2fLlznNOkYVyp2vFjqt20QLjnB5owXAyB9ZNgfjWrfJnVzZ3DSFyTccoDliQAg2AbcDJqTHd0uU621gGvtVvtI1xrCzeaLl70MqoGGQST5eO1Z1pPbHOWCy2kchYgAxOyEk7YwwIzmrcdMSbaxr+rRWcLzTNyonXzJ8AB4msf4l7U3kyI27qPwCn0z72qz9svDd/qtnAtmER1bvZIZJOXm9A8q8wGM5Ncicf3V1psxt72KS2mG/K5GGHTmVgcEV4/wCROTep1H2f8bhwSeWerl9fTU9V46JJPP8Aeck+8mq3qPaC46MT8TWURa0rnd+vtwKWknB8Rj3/ALq8d4dXt92c0s6W6Xi6ViTnrUPqeuSSdTUHDMWPKoLHwCgsfuXevjM5PLySFj0UIxb9XHMfuq+Ec8uQXN22etO7W7PnSA0O9k3SzvGHn80uQv6zR4qU4X4O1C6blSBo1B3knzGo92fSP3Vu6cfPZFr0jxr3pOqEGQg74C5+O9aXpvY2jIDcXrCQ9RFGvKD7Cxya+xdjEKMcXshBOWBiTm+BDfsrlbGvM14GuHvQIh/BpvI3hjy99appsKxqFQBVXYAVHcJcLwafH3cTM4J5mZ8FmY7E+iMVPBQOlcPHtyzz2d270+E1Q5fFfBck7ZrrJp5qeXxyMVBXDFGDKcMpypHgRT6eTHjk1GXDHfpSrEzado0sbcs6gjbDDx99P9abStahK3siKxyoUgc6j6pB61nl9hgc7Gp/hl9JkiSO6W3SdRyl5TyvIftc1dsM3k5uHXala78my2ny9nq0Cg5wk0Jx7PSSXP4VFaB2Ha1pkoaGfT7y23Dotw0b8h2yomQAEbHGfCtnbhXTphmHbHjDcN+xiPwrMe0W8fSm/wAnlmbfo8h/nKMH7q9Eud6eS44zt74t4X1KK0k5bSR2i+kiKASgketH9GTsR+ys+sNStr9WhuIgJU2ltbhCkye4MA2PbUpp/b3PbnlkWVANuYcsg9/okN+FRnaBxRa8QKkiNCL2L1ZkPdz48VbOGPh1q4TLH2zlrLuIDW+y2GTL2UvdN/qZfSj+DYyv3VH6VrOvaCcRtOsIPqkG5tmHj6JJZR7jUro/E89qwivVZl6CcD0h+mAMMPdV/wBPv1kQEFWRhsy4ZWHu6ZrvMnHLE04W+UUjALqFqynoZbUhlJ9sTkfnWhaX2q6Ncgct7EhP1J+aFh7w4xmqHdcNadcNm4tIZD9pQY2x4+lGQc1AcUcG6BbcvKmpmRxkRQzqwBO2MvGarFkbbFxNp+5S8tTn/fx/0qrPGPaPp9qh5biKaTBxHG4Y9PEr0FYRPwBLct/kNjeqhPrXLqfjzGFQPxq1cL9hUp9O+mEa9TFEedj7ObHIp28jU7OmXIu1e0U14m1S0j6yKxx9U8380VHXPF0S/wAFEzHzblUfvr6FyefxqZjtyfClBbAbuwAql3nFFzJ0IjHkoyfvaoqed33d2c/xmJ/DpWbk1MF9utXtIusgkbyT0/y2qLuuMQNoYR7GcgfgBVSAoqeTUkSt9xDcy9ZCo8oxyfiNzUW2TuSSfMnJ/GvtHLWVfBX0V7WI1IaVo01y3LBFJMx6CJGf8QMD76CMFe1StQ4e7GtRnwZFhtVOMmZyzD/9uMHf41KdoHZKum2HzuO4a4eKVFnBRUQI+V5kAy2z48fA1LRkMduTTy3sCfDFOLaQL1waVe++ztTY9wad50uBGniDUdJcseppLnqVpLm/A9Vfxrwbx28x449lMrSB5WVI0Z3dgkaqCS7t6qqB47Hf2V1J2I/JyBRLrWRzscOliCREo6q1wwOZJMY9HpuPKptqYsJ4Q4Mv9SHPbw4hX17qZhDbJ75nGGOPqgV0J2MfJ4065jFxe3YvsEZht8xQBh1ViSZH++n/AG1cF3tuwlhLTWSrhYY1Cx2yr0URRjcY+sc1nXBvHlzpdwslu/o5HeRk+hIM9MdA1TX2318Og+0bsrjjswNIQWghBLW8A7tZwNzz8vrt7TWEWOszWEyyJzRTQv0OVYEEZRvYelbiflBacLdHZJ2nbZoFUegfrFnJxy+6rNwtpOi6q66lHFBcTFV3IyI264MfTm9uKtxnwkuvb3wv2xaZLZpPc3MdtIByyRSfwvOoHNyxj0mWqXq+j6XxbdNLY3It5ITyy88I5p1+0qFgSM+NPu2zskjvla7sFWO6QZZBssoA6Y6A4rDOzqx1a3vlmsLWd5bdiJAEbkwDhkZm9Eilv2SfTcta4DueHbSW60i6ledRmYSRxsjR4wSsYGOb21kFz2marMVNzdSTxK6s8LBFhkUEEq8arhlx9Wtj1ft7s0haKS0unuOQpNC4WNEc+iyMxOcdfCoHsp7PNK1mJrtnnVjMxe1jcIkXpEhM45iMY3qX+j9t04KvYbm0gngWNY5YlYBFVQMjcYUYG+awv5R2md3qCSqMCaBTsMempIO/iaf9sMt5w9FaxaVPJBZHmTk2kZXyW9eQZA67e6q92Va5LqWpWy6lIbtSsiolxyuoPLnZcY8KW/BjNdr58mGdTa3ELAF1m5zkAnDDbO3sP3Vbe2W/e006R7djDK8kaLJGeRlLHrzDpsK+8fWkWnaddzWkaW0ixZ54FEbZHQ5Xr1/GucdW4tvryIRXFzLPGG5gjsCOYdCdsnrTfjNEnldrTqGrXt2I7aa4luVyoTmIYs/QtkDLda1bQ+yq0haCYtK0kfK7q5VkZxg4xjIGfbTfg3sts0S0uvpkuVRJWxK3ds5UHdDt8KZ8e9rC2zXVpDEXnQd2k3MvdcxHpFhnIxVk17TfxFvuuPLKN5ImkPPFscKSrEeCsNs1jHGOhWWrTtcajAl07HCiQZWNB6qLg5xVNl1593ZRjIZyoPU+J323ry3F6gdcV4f5PJbdR9f/AB3Bj3lZ2tVhwdpkAJt7GziI+t3CNj4uDXu/0+wZAs9pZufP5vGPuIXIqvPxTzRrhsL6x8M+VV3UeIQxJL7eQrxXG2vqXlk69NB0m5tLYBIIYYUXoI0Vd/eNyafw8TBDlMK3mMA4HurFrribGQv570hFxOwq/irz5fyI2jWeK3lXEjl1+yxyPu6VEw6mCd3A8gPCsouOJHbxrxba23MASc++reOuM5Y2JtVUDdyT769w6iDg58fPeqDp95zYz1PhVhtQcDNY03M9rTFf5xSy3mc/hUHDTmOWmts3JJ9/7aVimGOv76imnG+D+2kvnm/Xp+NNG06zg+P9/dSFwmRtTG2vgTuQfz9xp0Z1YY6bZxU0bRWoptj2dcVBXdtF6JmQSR59JTnOPEgjcGpq7kJJUeHWmV0pPWk6L3E5Z9mVhcoJbS5urYkZBhmJx7MHofjUDxR2P6hKMJqbXCj1Vug2R/KBNLcJaq1rcrlisbHByTynyBFbLY3CyoGRgQfLqPYa9vHnt8/l49ORuIeyHV4s/wCTLOBneCRWPwVsGsy4h4Vu7Ykz29xAR0LxSIB7mxj8a/QdkHvqP1fTYp0KTRh0YEFWGQc13864Xjj8/rPiG6gHKzfOIh9SbLHH8WQ+kPdVg4d4qCHmtm5Mkd5bSH0T58vkevpCtf7U+xMKGnsVJTctD4r+j5iuftZ0J4WIIKOpx5EGumpfTnlue218M8Vw3OyNyyDdoXI5x4ZX7Y2606aTmuEf7JBB8iOnu3rno3kikHmYOvqyKcMPiPyrS+BOL/nKFZyBNEPSk6cyeDkeFRzroXQuJVYBJ+vQSDY/yh4++rC5yuQQVIOGG6nbwNYtpmqhgDzAg+qwOQR4HI2qzaTrzwg4OUIPMp3U7fhWoxli4vAr7X2gCu6PmKK98te1joEwtfQlLpDS6Qjxqps2SEmrv2X8Ex6pJIjztEYQjciqGd1YnJXPw++qupA9vwqx9mvE3+Dr6GckiLm7ucdQYpNmPL9YghT8KaS1pum8K6PaOifN5LmbnQZueY8pa4WA8ykBU3YkbeXnVoj1Nm7yCxjEEkLSRtGiI65jzKpPdDl9IRPF631xVd4k7V9MEhmhtXvJeUJ3kmIovRYOpIbLFgyL6QX6oqla32yalMWETxWiHJxbRhpASc572TcNkk5x41mpJa2S6065KP8AOLoWcIVY1LShFMTM4lDp1ZzFIhzvgp99Tl4y0y0s7mymuBfNcd6vd2ULGGLnUAASMAgPeKW/lGsM1XV5rg808jyt9qeRpTnzHOf2UyMmftN94FTxamJaZsbezpSefZt5navkMLscKuWP1VHMx+HWrhw92X6neYZbdo1JH0lx9EPeFb0mFS5SOkwtU4sPMn2KP2nanWnW8krrHDEXkc4RFBkdm8Ao8N8eljbet34Y7AEGGvbkv5xwJyg+OC7b5raOyXg/RbKRvm/zZLhW5GLOrzr5jnfcHw2rMz8vTdw17YVomnx8ORBn+m1ydMs7Dmj02JhkJCpGGuCfH/djatG7OO32e3CRX69/GNu+QYkA82X61bnxHwdYaghW4gikBzhuUcwPmHG4PtrIuJPk9Qs4FjdNFlt0kXvFVPPmBz0rWtM721ux7RdKmtWuDdwdz0fvGUNk/VKNv44ptw5wXpEszX8UNvNJMAVI5XjQHfKr0DfCuc+Luw/VLPLQql5GP9VlXHtKN1Pxqr6Hrep6RJiCWe2k5uUwsG5SfIxNsTV8vsk+nRnad2IQXnNNYEW1wTzFD/AufHYeqazHgHhTiLTbqVrOGQG3P0w5h3EyjflGT6e22ceNLz/KD1Iwdz3MCXGcNOQ2eXyEZ6NnxzWjdm3brZ3ASC+AtJvRAkY/QyMRjPN9Tfzp1Tdih8b9u+rM/cxxpYmM4kTlLSkjqGLbBevTzrW+xbtSt9WjWCULBeKMtCNll83Q/W91J9pfC2jasY0lkgS8nU/N5YpEErHwY4Ppr0qqT9gAgtlezu5fn8eW5ieRH/iqU3jPtzU7ixL9tvZ3HeyibTwj3pwJrZHQFlP+kIzgH2++oThHSNT4XzfXMSvbOAs9vHIGkG3ouceipztmsz0/V7/RL0OxljuUOJUk5sypndWJOWU+ddO8N8XWGt2EhZkCtGUuYpGVTGSMNnm+rnO/sqTVW9Mp4l7UYNfkgsJ7Y2ttJOnNcCVXmTqMKCvIN8Vp3DvZBYWTpcQSXTTRenGzyqVDYOMqEwRvWEjstvpriUacsdzbLJ9FcpOgjwDkKWJ3YHbbyrbbvtLTSY4bXUoZ/naQJ3ndYdG25eZXbAPQ0/a+pqMy4t7R9RuluLK4eLujI6PywhW5UYgAtzezyrRtE7GrGSKCUTXKsyRuwJjKscBscpTIX41RNJ7PZ9ZMmoWs0EcE9xI6RyB+8ADnZuXbNapqfaRaWDNZzd4s8ESqSiGSPn5PRGV+H31JPtb9RE8Vdrws5ri0WDvDCDEkySALz8uASp6AGscg0a9uh85EE0qTSkd8qEo0jN5+WT19lPNN4cu9Qm7xYnK3Vw2ZzGwiUsxLHnxgDG3wrpzSLOKxtUi9BIoIgGOwX0R6TH45NO8r/RuY+mR8S9mUsOiBIQGuubv7rHVl3PIvsAx9xrlq04lsmmeGcnniYrsxVWIO/jvXR3aB2nTzySxWT9xaENGSAOaTOzOD9Uda5/7Quwq/kRdQs7dhbyHMpYhSmTvMEzz8uTnpXPkwxyunXj5s+Pt81DVO8YldkxhRnYAdAPZUXcXHtqJu9JuLGP0pe8VRu52HuFVluLBkhs4B6gZBrP4NO/8Ay5kuXzgedfBcVTl4hVjhQzk/VUEk1q3Yt2enXmZDepZSLgiNoWlZh4nIcAVLx0/JjVf7zbPwFKWasXCRjmkboPh1J8BjP3VqHaL2E3mlQNcRXdveRpu0fL83mAxuyB3Ic+yswt5ygIU4Z/Xbx9wPlXLPFZnKuWi3Edv6IPfXB9d+qR+arVht9RHUmswhvjGMDY+fXP8Af9tDaw3ma43idPzaawdbUeI++vB1vPQ1mFtqDMRk1MW1+F3J+FW8emPy7XiLVWzSkl2WGQapg1gZ6/AGpCz1ZTtkCsXFuciTl1B1bOaVstbYncnbYb770yd428QfjSEkqLuMD3VLi6TOLVBeKfSJyentP9tOkkVtvGq3aSjbfPn76kbaT0lJbGQR7z5VmxfMXltzEjr7c9P7ae8OcRTWhwWLBTtkZyvireOfbTS11BAH59sHbP7Kjr3VImDeedj02rrxcHJe5HHk5uPX/atx0HXo7lPRPpgAlc+B3BGetSLnIrnzh3i8WT5RlbmcH0m3BAwy5+yav+n9qdrIQr5jbYE5DL94r3Xgz16eH82F+V7nGc+QrOO0bs2t9QUuqiObwdeh/SHj/bVrTiKNxzR4dT0KkEUhLrqqPVNc9WNXVcece8D3FhIVlQ+PKwHot45B6dPCqdazSW0nPGcHDKQRkFWGCCPHzrs3im8guomjlg7wHOMgEjw2PUVz5xrwFIpeSKJ2iG/qk8o/PHtrrLL7cMsFM4c4pe0IVG5o/GJsge9fst1rVOG+JorlMxtuB6UbbOu3iPGsRvbIqTt9+39+lIWt7LbuHRirDoQcEDy/R9la0wjAK9AV5Br1muzL3mvXPSWaBVQuHo5/bSOf7ivSqT0H303pdPQkPvo5z54/GpLSOH7m5OIYZZf0FPL+sfRx8avPD/ZFdS4M7RwDxH8I4HuGwPxrF5JGphazVAT4FvaTtTuw06aZgkau7H6sasx93o10HoHZHZRYMqvcn/eNhc+xE6ffWh6NoEUICxxpGvkqKv5DJrleX6dZxObtA7JdQnwWRLdTjeZjzfBFGc1pXDPYlbIFN08k7Z9VfoY/dgek3xNbLbWAAwafwW/QYrleS11x45FX0Dg21tQBb28UWPFUHN8XO9WmCzVRltgPE08jh9m9Vvj3iuLT0WSVWkUOE5FIBZupxnwA/OsXddOoc8V6TqF1bMNPRQXOC7NyEJ/u9vW361ims8GalaNl7acEEnnjBbfPXmXfrW1aD266U4CuZbblAADxkg+4ptVr07tH0u55Viu4Wd/VjLYdj5cpr1YSSdPLnfKub9B7QdUsDgzzqi9Um3HuxIMin+n9u+qwSM30MsbnPdyKQR/LXf8A81042gWs6nv4YZefduZFPuFVDXexXR7gkiAwMfGFyn/L0rp2zqK1wp8oa1kwt7BJbnA+kj+kQsTv09JRv5VY9L7Q9A1GcF5IBJFIRD84iCkkYxIrMNxn8qo2ofJ5jdm+a3rqo2BlRX9LyBXqKrWqfJ91OPeKS3uVHhzGNjj2Ntms7q+Om88QcC6Rq453ihdjkia3cK2fPmjNZxc/J3ikkY2166wjZRJGHIbJ9EMCMjpvWUf4t63prnu4b2EqN2gLMMH/ANs4/CpTQO1PW9PwhldlB/g7uIt1OTucN+NTf21ovxZ2U6npzd53b3CJus1sXJQA7Eg+mh8dqs3Zx21XliywXwe6gGBltp4gNs5PrCpjQPlCnZb2zBP24G2/4bnP41bOF+OdBvZGkkW3iuJFMZFxCiHkP1QSMH31f1Wf2jdc444f1ueKG7jkRcryXMi92HY/6PnVuZR4fGp3jnshs7i1DaYi28yJmPu2JjnXryyYPpk/tqL4s7GdPvQ82nSCB2GVVGDwN7MDdffmojg5eIdESX6A3dpF6PdmUOBj68JBzj2e6lX9Irse4lk0a9NtdExwSSd1LG23dSHYOB5dKvnyh9MS7S2e2aOW6D913UbK00kbgleVQcnBqN7O+N7G/unXVLa2S+diIpWiwrDoIm591f2nyqudpPDM2i6hFfW4LW3fLLCwye6YHLQn2Y5sH21Phr5X3sVvm0mzkj1QGxTveaFrn6NW5vBT99ZzxAzajf3U9qGmhkuu7SVFZozgKoPNjGNq0Dt4vUvNJtJlHNHNLG3TPVSfdnINPuyhotL0U3MuAJWeXH2vqxoB0JwufjS/S/2ub3Vvo+moX5RHDEoA2+klI2A+0xasKvuLNS1SRrdHkZLiTK2qAcqjoBzAZ5fjTjTbe/4guWUM4hEneMWP0Nup2HKBsz42wPOtK0a207hyNjNJz3DgengNLJ5KkY3RfjT/AOJrSM4C7KhBKsuo8kjDeOBRzRBvN2I9Jh5Yq18e8d2FhGY5GWaUryi2jwdsYw3gq4rLuNO0+8vcw2oNrA23o5adwPNl6CovhbszvLtg86SW8BOXkkA70+1VY5PWpvXo1v25n7erqaS7dgBDaSvzxwITyKT4Z8fdVR0Tg65ul7wBUi3PM3rbHGydfCu8+J+zvRbW1YyGIzBSVmumVnBA+qh2U+wDyrlPjXjm1heSKESvKmVSQKFj8h6+xWumO/lxymvSq2nD6Wu5HpD67H8vKnOg9o1zpNyslkY+8UY5z6QwfZ0ztVK1TV7m6P0jM+fqICF/VUb18tNBupN1gkx5sOQf81S4tzks6dJaXxydYTnnleSU7MrnxPXlXpj4VUuLOG5rFlcxyiCbPdO6Mo5vFOYjf+w0v2Ea1HpdzG7wxrnCycwDEb9eY1032tR2Ot6S0ZuoY5kAntWLqQJlHqEDwIyvxFcMsHoxy05CdtqaSSYr7MSrFXGGUlWHkV2I9o9vtFN5GzWNLS6XRFKf4QbzqNZsV5abFTTKUN83uryNUYfWqHMhb3V9U08dnlVii1x/A07ttbORzHbO9VEyY6mnFqC3pHIiU+kwH4e+k499H5NNDtNewML06k+VO5uIl5PRk9Lz8f5I86q0F4jKsUK82RkY/NzTjT7BIjzv6UngT0X2AV7OH+Jjj3e3l5f5OWXUP47u4c8vecq/acZYg+Q8qeRWqH+EJkbzJwPuFN3bn6da+RMV6717daeW9pSKCPHqr9wr5JZRnflAPmu1Ixze2lVlqh3pOrT2jgxyEp4xtgof3Vq/CvEVrfALgRzY3jbG/mUP1hWP4BprIXjYPGSpVuYEHBBHQiuHLwTL9uvHy3F0UdPj+yv3UjJaR4Pojf2D+5qj8GdoyycsN5hH2US/UbwHN9lvbWgAhsFTkdQfA+6vnZ4XH292OcynTGu0/sujui8toojnxkpj6Nz/ANJ/fXO/EOgzW0jRzRsjKTsRj7ieoruidcjGN6q/GnCVvqERSZAWUHlcbMpx1Bpjlr2zlj9OFAK+gf3FWjR+CLyfBETIv2n9EY899/wq7aL2VrsZ5SfNYxyj9Y716bnI4zCslSInoPwqc0fhC7ucd1DIQfrMORP1mreNC4Ktrf1IUzseZxztn3tVpt9OAwNh7q53l+nScWmMaJ2SucG4lVPNYl5293Mdq0Dh/s5soAD3Ikbzm+kP6p9GrzBZhfI++nsUQ8t653K108Yj7LS1XAVQo6AKAoHwG1S1tYqPLNLQx+40uB99YrUgjtwOlO4owBjzpOKl4SPKjReLG1OUPjimqHxpdfzrCl0k2O2/h7T4D274qt8Y9kp1URyG6eIohCx8qsnM27sfadhn2VMarqC20Ms5GRBE8uOmeQbD9bAqjWfyh40UCSyfYYzHIpH4134sZ7rjy2+ohb35PV8P4O5t2HhlWX9tU3ivss1LT3T0O/c5YG153ZAv1jgej7612L5Q1kRvbXI+CH4+tV74L41tL6AXXeRwiVmCpK6CQKpxuM7edd9RwlcuWur67Z45W1OIZzhlnK/8y4qXt+1biCAMWmmK7Zaa3JC/yiBjwrqKbX7H61xbfGRP31Gao+nan/kRkgnWQc0sUbAkxrjqUOQM4qyf2srAtL7edWjABW2kUDHpRsCd8k5B61aNN+UTOB9LYxOR9iVlz8CtaE/Y1oh3+a8v6MsgH86ozXexrR+7YRRNFI45UYTSHlY9CFLYNTtJovofbTpLKO+nMcrhWcGJ+UNj1eYLuB0qfj410G8HK9xYyc22JQgP/OKziP5O0PU383Twhj/bThPk7xDpfSYx/qY807+ln7XC57O9C1As8MUKp057WTk5m8d1ODUBqfYBauCba8ljz9WRUlXPhvsapEvY7q6TOto/0AdhHKbgxFlHiyIdmz+yn9n2V8RJjF2EHsvp+vt2rOv6bt/tIw9les6e2LC95uYbiKR4cqOmVbKZqR0zibiPS8LdWz3cK9S6czcvjiSHr91RVrpfFGnSmKGSW551VmdSJkHXC80wyDtmrJp91xc3WK23/wBcIsj38rZqXr0S79mt/quj62wS4gm0y+ZsJJ3fryfVBKj0j06itF4e4TuJLI2eqSrdRBh3bYZZhGN1DuT64239lQWiJqfziE6sNLWHnyBHgXAk/wBHy5XGMjzrUEat49+0yuvSG/xKsTbR2jRF7eHeNXkclTvuGznxNR3F/AKXdvDbRzyQwwY5IRgq2D4k782PGrar0oXrWmJlYy/UtQvbbOmaNp8kPIBzXDjbJG7BmHKT19LNRFl2VzSt3+qXoRicsAwd8/xpJDyrVx7VJ4o0haa6ns0ZzG8lsCWZcHlDAfVBHWqBDouj3P8ACazcP5d6eX+euDXPLqu0q1S61o+hgCFY7iTwMbJLONsku59VahtV7aJjtBbxID0Mjlz7DgbZ9lFrwNpcX+URXy3Hc/S91zQMr8m/KwxXq17TdJG/zFl90NufxBqXf6Nf+qAbK41u89IwxzTA+kw5IjyjwC9Xppxl8mTvVaV7sCTc8sMOR97n9lavedqWnsjLHFcRsVPKywxAo2Dyn18ZzWc6pf65Ovr35RxkFUYAjGxwi46U6n9s2Wz6ZMnBC6L3rhpZOVSZFZV3CjqgAyGxVX1HtEtD6sUz/BV3+JqQ7TOH9Vy7sNRK75LLcEdPEeWKrPDPZ587gErTPE/MyvG0XTlOPrb11xu/TjlPH2hOI+IvnWBHE0RDbHn3PsIXrV34Dv8AUIY+7EBKkeiXZQF/5s9KaN2VAdLpvZ9EufzpzNxNHpx+bzGV5IhjnEfrDwPXGaZYLjyFdY067kkaWbuFB6+nudv0cVAG5GSMjIODv5V61bjWGX/Wn2cuP+qqdf3feTF4A65xt4k+4Gufg7fkWwv7a+cuetV201OVfXRj7cYNSEV8H8SPfsfdXK4aamUp7LMOi03eU4oM6gYzTSafwXx6VIU80+HvHAJwo3Y+Q/fViBbm7q39IEDIxlVX7Te3rUHJDywqAcSsQSB1Y+A91P8ARp5IU5QOpy7eJPhv5Yr28OGu77ePlz3f6Waw0qKLdGwepOfWPtpaSPO2ahBcsB13pzbXDHGTXpckmGZdq9GRzTdbjHtNfGuyaIdpKw6ml0uPbUQ0zZpWGJvE0E1HdE9KXWY+NQ8R5adJcVQvN1zVp4M45ltMRSEyQ+R9ZB/EPgMeFVIyA0nIB1rGeEymq1jlZdx0dpeqxXUYkhcMD133HsI8DXuXBB9x/KsC4b4gls5A0be9T6rDyP762Lh3iCK+jLJgOq+nGeoPn7RXzuXhuP6ezj5Zko1rZjA22xT2K2ApWFfRHtFKxLtXP26vcUdLBRXxV8qUjHT8ayFlHnTiMCm2R+0YpeMiqpdGHtpVabxt+NKqSBSqcw0sp2+FNUf7qXDeX76mlLrJtjxpWN+lNEGaVjbHj8azVhDUtO/wgLmyEhj7y3iUuvVRJKxP4R4qlXnye3Pq3v60X9tWiLXEsby8ml5ikNhbzkLuxVJpVbA9zj76Ju3nSwM8txnPTu9/xNeni14vNy3tUf8A08MB/nu/jmL+2sh1bhq5iuZraOKaYwytHzRxuwbl6kYGK3e9+UJZL/B21w+3X0U/M1b+DeOLCayjupJILcyczskjx86ksQebHjXXTm5ftuCNSkxy2VyffER+LdKeNo+q6MPnJjuLEP8ARd6Cqk535fROcbV0tf8Aa1o0I3u4226Rgv8AzRVbue0bRtZubayaJrhZJcKZo+WLmwxHrHrTRGCycZajNsb27cnwWRs/qr1qb4Vn1i1njvRb3lwtvmUiYT90VCnJOTj210250vT13+ZW6oPKFSB08s1S+Ku2LSlV4o3e550ZWWFCEOQRjnbYVNG2fzdvepyH6OO1hBO3oPIT7PSYV6t+PuJLs4g+cbn/AEVpyr8GZcfjWtdm1ppUtlDew21rCjrksyRcyOCQQztvzZFPuIu07SrEENOkjrn6ODDtt58uwq638rufTNp+1TV9Ihit72xHzhgzd9O5BlGc5wm2d+lNbXtO4hvmC2sRHsgtiwHveTapC67YNPv7y3E+nq1sknL31wFkkjLbK6rjAGfyq7a92o6bZZWNhO6jZLZV5c4yoLDYVP8A1f8AxXNIv+JbGG4u7iNZhyKClwwaRMH10jh2PXp7KZaTPxPrO/etZ25z9Lyi3DA+IX+Ebb2/nUJrXaxqd+RBaoIO9PKscAMkzAnpzEfs8DV+vL7iCDSUJiiNyoZZGUhp0hA9F8D0TJUnfS2mlxw3p2k4m1W8mvrsFTHGJHDBhuOVC3Nn2k1d+BuMpLi1kurqA29ujHkmZwQ0XgT459tZB2S8FTatO17fPI0AYhmZiXuJEIBQ5OVTbHwqwdvvFCiJdNthyxpgzhBygcu6RLjqu2fhVnR1emyWXEtnJEJ47iIw9O95vQz0wW8DmmurcaWsNuboM00PNyB4lJVm6YDdMZ2z7DWczaT3PC4TA5jClwx9b0nYPnI9h/Ck+wq8jvbG506f01RiyqfCOTO658nyc+2teR4xY+LdR1AhL20W3v7J41zAYwxVerHGcl/hVdtNT0K/PJdW5sJycMysyx5/SXYH2EVDafrV1w9ePA/NJblie7OQrxk7SReAbzHsq4cbaXpmoWhvoz3b8hYSQx8zEjfkljQetnbJrFjcuv0r/F/BNlYRpex3QmgEsZ7llRzKOYEorLt6oPUVP2ut8N3oCyRQwMwxiSIwkeHrpt+NVPsu4i0+CN7e+iJWd899KBJDgeioMZ3i69fZVn13sosrpe+0+XuS26gN30DeO2d1FT9Jb8H8vZtpUiM8EkgUKW+hmEi4x4cwJFQmmdri26rCbZmSFREp70ByqeiCc7E4FVOw4VuLC+givZDbQOx5pI5SqSKp3UkHYHb761DUezjTLteeJe7z0e3kyv3eqan6WzrtGTdrmnTqVmSeEkb8yc6/rIa5V7fOICuoGXTbl1gZPSCDC84O+VZdjvXR2v8AYzJgm2uEf+LKhQ/rIcVB2VnpUVo9jfNZ/O0llWQTKmCSxxyyOuG29vhWsbWMpNdOTouP9RX/AE4b9ONT+ylLDS7rW3kmMkQkjCq2VK52JHq7VsHEPZzpjuxSFAp6NA5C+8cpxWda5fDQbhobNOZZVV5BMS2+4HK3XpXXThvfpB3nZ7eJ/qW90n7xTODRZ7NxJOqrGDhm5wcA7fnViHaezfwlsv8AIk/etR/EHFaXkLQpDIsj8oUbNk59m9W6JaZ3V7CejqfjTQurEAEH41FXGmzJ60Ui+9G/ZSMDFXU46MD5eNc8sXTGrH3ZHTevax7Enrjb2UrFJtSF2c4UfWwP3/hXLix8snbly1if8OMOcu+TtiMnoPM+/pU5d3Az6PSoNXVFCD6o+6vduwIzmvfHhScQyc9adh98dKjra4pxv1ozT5JaVTJ8KjrckHeny3hx0rQcoCNyK8mVzSUd7nqKdw3A6VQQyH61LK2elJTL401Nxj2VBJI2NqX5xUdHOG8aEkAIBGavsPZh7qX0zVZbZxJExVl8vH2EeIpoWJHQU35imSVJB6YPj7alm5o3psMXQe4U4jPtptEfLp/ZSuT/AOK+S+kcq/lXtWHwpvjYeGaUHSopzGw2A+NKd4PD/wA0irY/tpXnzjagUQkUtG3j9wpFD8KVjIBppo5U0pE2+BSGQa9xbH8zUqnab19GM9fI02jP/mlkbHWppVe123Vr5YpN0v7G8tB5d4FEkY+9cfGsrh7I9XmIxbhBnAZpABjpze791at2gQsLcXEf8JZyx3CeJPKwDDbwxmtG0LXYZLeKYyIqSIrqWYKMEZPU/azXbhvw4c0+WBaf2AXzEd7PBEMHJXmc/dVX7W+zl9Fa3xIZ45lbL8nKFkX6u3gQSa6O4h7TdMs897dIxAzyx5dj7uWs31bt1sp57dFtmeETLzyyhRyq3okqp9/516NSPPvbIOHOBdTvuU29pMUY7SMORPfzN4VpnDXYBdkq9zdx25HpYg5mkU+x+in3V0BDdRCNXDIsRUMpyFXlYZBHgOoql8X9rmm2GVMpuJQNkgw+/wBlm6LTUN1zlxfwndW99NaFZ7p42yrcjSM8bboxxuP7KtvBvYnqN0A8/JZRNvmTLSkddoxsPjVp4Y7bY7jUF7+2jt4JQIu9LZlU5+jMhxjl3Aq/8Z9qmnaeCDILibHoxQ+mc+HMw2UVnxaqicbdjr2mn5tLm4neJjJJE7kRunL6XJGu2c+FVPgrse1G+KvNizt2355N5GHgVi8NvOm/GvbHf33MkRFrAwxyRkd4R5NIf2Vd+wvtHuHia2uYprhYI2ZLhFLkKi5Mcp8W8qdE2v8AwX2X6bpwVu6FxOuMzz+kcjJyqHZRvVB7bLTSGuo+ScQXBkRblYU541jOAXYIMK2MVWe0Htbur3nit+a2gPokA4mYePNtlPdVU4R0C51OYQ2yczdZHOQka53Z28Tv0pl9Rca6d4H0bStOtu/tTCYyod7t2DsRjqXO6nB6VlXap2rSXnPb2LNFbKzB5h6Ly429E9Qnt9taBo/ZnY21g9vc80qsA88pkZAWXclVBwq+ysWtbLTotU5Hmc6ek2z8pdm5TlUPmuds+yl3ITW2sfJ+4ZnitjcyvNHHOp7q35jy45t5yCdmJ/ZVH7VLSC2vGjjkkmUsHlMjB2DE+kvMR9natvl4ntI7JriCWMwxxHuuU4B5BgKuR7PwrlvWNSe4keSU5aZyTnfBc+Y6ipl1Fx9umdQV9Q0crDGsSz2o7tHblKIF9Hm5RgbAbVjPZVrPzLUoenLKxtpMn0fS2BP8sV0BoEPd2kMQ+pbog2+zGBnBrlTWgUuZgCcpNJg9CCJCQffmmXUi433G/dt2gyXFslwgDvbE8wT1u5brjPUZqudjnHCWv+R3KxrC7Yjm5QuGb6soxuD0zWkcEa2mo2EMzYPexckq+HOByyL16ZrCO03h8WV46I3NFL9Ig5geVSd19mDimXXazvpqPaF2aR3HNcWJEcx9Mw/6KTx9A/UJ/bWe8HazqFneJbQv3LSSBHhusiIH+NndRt4eytI7HL25ls+V5kdI2KI3pGZQOiyE7Y8j7qqnapwlOkrXWZLiIjd2IaSI+Rxvy5xvUs+YuN1dVdOO+AZL8CZbk/OAuO7be3ORuE8VGfH3Vleqx6lozg4nt8fXjYvA3v8AqY+6pLgftLmsOWO557i2G2c80sQ8wTuyeytfXiCzu7Vpg6T25QllxznAB9Ep1B8KskqXKzr4Z9wF2k39/ILQxRyM6EGdQU7sbjvHUHBFZ72h9mWow95IY/nSMzu0kOXOSc5KH0gd/wAK8S8bfM72W40yNbeByB3TpkOqncEdUrU+EO1+zuyI7kfM5T6vMeaJz/FkHq+41J31S9enG3Elvc2jnu3mgYb8qs8ePH1PH7qsen8FC9t45r95mupE5u8DDPdndAVxjxrpjt/0yzl06aY20dxKy4ieOMMwY9H5k3xiuRk4wvbNuUsJol25JBk8o8Aw3FbxunLObnXR1qXZTKN4J1YeUo5T96j9lQ9hoMmm3MUl7yJFzEc4PMM+G2M1cdI7T7aTadHgPmPTT7x0FQ3aW0t+I3tA09tGMsyHK85/i9c7munTlLfVSs97bzDMU0b58mH5VA6tp6kE4B+A/uRVCnhZD6asp8mUqfxFSnCdvPc3MFtCXZ55UjSNWPpkn1axlem8ce0im3Wm0bemT5dPef7KsnGGiy2csiTRmN0JBVhgg5x8R7arFs3X3/2VP48+XTn9w6d9vfSQlK9K8ytSQavTXm0kLS9IqZtr8Y3OTVVdqe2Eu/WrCxYGvAaUt7kVGDHvr2ZOUb1UTXKCMihmKjPhUZb323XOKcxs0nQYXzoh3HqIGw3PlS8lvI45gAKjFteQlgc5p7bagw6nI8aqFrNwh5WG9PZCD0FRt66OMgjNNBesBjy8c702JmO4I9E7V8eTGRkb+2oaW/23PxO1MZtYjX633U2unRUbbD3Cl4/LA6UgHGB7htXtPOvlPpHCEmlg1IITXvNAsjeOKWLeymobwr2NvKs1Trm+NegaRizml0Qk0XZVH6bjrv50uF8vGkwnhTq3XAqm32CM05jSvluKdRx7VDZK4tQ6MjDIZSv3jFYhxfYSfNJ7Us4l0tzIiDP0tnIfSIHjy7Gt4X+/lVJ7TLEwtHfoocRKY7uPH8LbOOVs+3lOfgKnq7Szcc22trLcPyQxPM5wOWJWZvLoBt1rSuDuw3ULrle5K2kRO6v6UpXx9FdgcVu/Z7p9jFBG1nFGiugZWVRzFT1y3mNx18KntW1aC1QyTypEg6sxx+de2Tbx26YL218FXVhbwG3ubyeziTkmV5fRjxgK3Iv1Ov3CqBwtwJqGonFvAxQdZZAY49/4xHpH3VqfaJ22QMslvZxLcBgVaSYHuvYVXHpCrv2O8ew6pAIyFiuolAkiGAGA+vHj6tTXaq5wT2G20HLJfyG5fGWiUcsIOP1m++oPtr7LBFm9sIwsarm4hU4xyj+EjHuHSta4141s9Mj5riQc31YlIMjfyfCue+Pu1i61HmijPze2bI7sD03X+O3u8Kt0b2e9nXZDdXxWa7zbWuVPKR9LMmxyo+oCPGui+HNGtrCEQ28aRRIN/aAN2ZjuTjxrEuxPtIuEKWU0c15H0jaIc0kK+HMPrJkdc0l209ot28jWccctnEdmMimOWXz5T05fjSWRbKiu3jUNMlu4xZIveqx+dzQEKrDxUJjlaTrv7q13se1bSvmyw6c6hlGZEfAnLeLPncjPj7q5YisHkkVI1Z5JGCog3LMfDz+NdOdkPZ8mmwCSdQ15MmJW8EUnPdp5eG/vpO6VXu3btHBDadatnp84lRvbnulI69Bmss4S0uW/uIraP1pDhifqoPWY/D8xV47d9A02zdGgV47uZi7RqSYiCd2IPqmm/YXr+nWMsj3Tut1IRHEeQsgjbHTl+sWrOXtcfTomxsYLa1WHkTuIYgpDKCvKq7lgfv8AjXKnE+opNcyyRokS94WjEYCqAD6JVeg6ZxW9drHEaJpd00Uihmj5Bvyth8A4B3zg1y9JPt8Kuf0YOreyHUpr3T457iR2dmdM7LtGSoOw8hWNdr+nLbajOseAknLKB1wXHpZ9vMCfjWw9iShdJtQABlC238Ykk+/OazL5R0PLfQtt9JBn9VsfkalnTUvae+ThqQPzi1fcqe/jyT0OFcAZx62/xqxduHDPf24uoVJmtweZVHrRMcsceLDr99Y12Xaz8z1C3kJIjd+6kA6FZPRHw5uU/CupJpYyCrFSGBBGQcqRg7e40x7mqW6vTnHgHjKWymWTJaPIEqA7NH47dObHjXRmlapDeQiSJlkjkGPA9RurDzx4Vy/2g2ENrfTR27FogxYAgjlJySlaL8n/AFOJu+ty8glOJQgf6Jk2Hor4NkdKzLrpbN9mHa9oVpbPzW0ihpGPPbgj6M9eYeQ9lTHYRrNgga3IWO9Y7s7Z78b4CE7K3hy+yp7tR4KS/iMkAVLqMZU42lAHqNjxrnaVnhkIYGOWJsEdGR1Pn1FL1VlljpTjnsvs7/MkQW3uftoMIx/3iDbPt91YNxjwfd6c+LiM8hOFlX0om/leB9laf2N9o1zcf5JPFLclF9G4TBKqegmJPT2037edC1K5USxv31vGMtbx5VkxvzkfXH7qtm+4kuuqsHYqtqLILHOJ5W3lVusZO3IIychcVV+1jsg0++5pFj+bzde8gCrk/wAZPVJ9tYrY6jLC4khkkhkU7MpKMD5HH7a1bhDtfyFh1JObYKLiMZPlmRc9PdTGs3GuduPOzS603nkystunWQHldRnAynjVx4D1ix+bxwRTKGVRzK3oMW6nr13rSO3fh271G1B09Vktz9LIN0kkxuoRWHq9fwrlfUNOkhcpIrRuvg4KsPcCMmusunPLDboC4sIpcd5HHIPDmUN92am+xTgu2fWI7iOBVFmrTuyjbnI5YhjoDuT/ACa5x0jXLyJgsM0uWIULnnyScAAN4713H2Q6J/grTFlvpEW4ljF1eSthVQcvoqf4oUjb21jlz6Xh4r5b+GcfLSv40t7OIInziaVnaTC953USn0ebrylz+FcwWR/v8aufblxqdZ1GadGJgQmC1HgIVIy+PNmXPxqlQdfh+Vb4p44nLl5ZFpzSXwpWXpSURzXRyfeWvEUhBpVztTcDxrQloLjoKcidQcNUVC+N6crCZF5vLpV2zT9rUkcy9PKnmnahn0OhG1Rmm3ZB5GrxfKUfmXxxVE0brkOGG3ma8klj6HQ+FNbRGlUFyB76XnvAgKxjJ+1V2aLNyRKS5wfLxqKvdXVR9H8Sd6jtQdidznNMRHzHABrNqPYlkmfA5mJp4mhTt0Q/fUpo2miMZxuanLYso2JpF23UDYbjcfsr3GN9qSjB29gH5Uqo/GvmPeWB6bV6Ub19hjx91OIoqaXbzGMfGnSQ53P9xQsf/mnMa7U0beIU3pzCuDvQuP7jxpVd6aNvRApxD7qSXFLoNsA00uykdKqaRTYUoKGynMdqTu4hIjxuMpIrIw9hGK9E0qCOlTRtlFjqE+hzPaSuVtZ8ta3BHMkUvhkeA8Mew1kfHup30tw6X0jyMG2Bz3bL9tOX0SK6l4h0iG9haCdAY28cDmVvBkPg1YhxBox06WO21RDd2AcNBONnRcnKq3Urj/R5861hl4+/TGWO2e8N6Fc30gjtYZJWYgEqPQXO3pOdhW/dlnY61lItzdzsLhfVSBuVV9jNj0q0LgWKxW2Q6esKwMMjueXBJ65I35qccT8SW1hG0lxIqAAkKTgtgdBXpk324W6c/dtfAN1ZyyXYkkurV2z3jkvJDk55ZNvVz41U+zngm51SUCFSsIYd5cEeio8cZ9Y1ae03tYmvleG2HdW7DlboTID1BBG1eeyPtTk08JaSwd/CXAj7oATBmIAHLjD/ANlS3tY3/gPg+10uIJAoL4xJMwHeSHrufAVV+3LXbCK3MNxHHcXLqREvKC0Zxs5bqvnXntH7To7CAd0r/OZFBjR0K8ud/Tz41zfquqyXMrzTOZJJGLMx/IZ6KPKrdRJO2ndhGtabazM17lLjpDO+DEikbj+K+fGt91fX7eG3a471DHycynm9bbIA865f7LeFX1O5VSP8njYNOx+z9gebbV0zecP2skC27wo8KABUIGABsMeRpj6W6+XKXGOrzX15LdPzFXb0BnPIg6DHhVg7GeHTf6jFzKe6tsTyHpup+jX9b8qddsvDdrp00a2rvmXmZ4iwYRgdMHr8KuHye9asYImieTlvZpDzKynLKPVVSBgjrWL7bk66bDq1tAYn76OOSNVJIdVIwBnxFcdazKrzyvGoWNpXKKvqqpY4A9mMV0/2pa2INPnaM8zMhUcvUFtulcpQtv5e+t56Zxljfvk3Xk01vPHLI5hgdVhQHHJzAs+46jdfuqZ7dNDjk0+SbDNLb4eNiSSBnDDfwxUZ8meIi0uHPR5xjb7KAZzV/wC0C3E1jdRn60Ljwz08KT/Uy/2ciwzHrk+efb4V1x2X66t5p8EoADcgRx5Mnonfr4VyGDvj8K2v5OGthUuLVz6pEye0Ns+3vA++sYXVay3op8oTQu6kS9iX0JfQnPUCT6rY921ZbomqyWs0c8LYkicMOuD9pT/FI2+NdOcT2KX9tLbshYSLjJGOVh6rDm8c1y7qWnPbTSQTejJG5Vgehx9YezG9TKd7MK6u4T4ijvbWO4VgOZRzgHPK/iMeeayv5QWnwBop1gkWaTYzrgRsB9sfa9tTfYRrVuYfm3JHHcLgnH+mH2t+rfvrR9b02G7iaGdA6MOhHQ+DKfA+2tb3E6lcucG8Xz6XMJbcgqcCWJvVkUe3qG/srpLgbiu31WESwHcDEkR9aNvEEeX7q527UOCpdMl3y9s5PdTDp58j+TYzUJwXeXcFyjWLMJcgcqthW3ACyDOCu9Zx6WzboDtF7LLW8VpoALe5xnI2ikPk48D7awfRXisr5Tdp3yW8hWREb6y9GVh6wB3+FdNrbTXlryXh7qSWPlkWB8cpP1lcVzz2k9ntxphaRA09qd++A9JMnpIPu9KrlPpJfhvnD+vWmoxBraRWAHqeq6+wr1qu8adntpfKRPAkn8YjDD3MN81zxomoyQyq8MjxucekjFTv7fEbVvnZlxNe3wMMqBlH/wDkDbYdcjxPhn2UmZ4W+lX7NOxG0h1EXh7x7e1bMcbkFGlxtvjJAO/wpt8szimSOG20+JsLc881xjq0cZCxpt4EkjH8WugUjCKFUYAHu/uawf5W3CBubaHUIly9nzpPgbm3cg83wYZ+NcZlvJ3uOsdRyfB1/CnEec18ZPSO3v8AfXo7V75Onhvs5AyvwpCIUpDJtikXbBx51DT2TXyRcjaiQ9K+c/gK3EeEIzin9vdBNj06VHSpjevjSAjHjRD6/O/Mh6il4JFVeZz8PE/2fuqPgcKMndR+J9lNrq55z7B0HlS0kSE2pM7BV2HlT+4mCqB44pHSbFIk72Tcn1RTK6n5ySPPpViUc3MfaanNH07lwzdaS0TTskMwz7KsscIAyetVBFHSj4H3V8568MfbUJW5xDYH3UuB0pGDw89tqcBt6+a95dSPbSy0grV7Q560DlWPwpeM7+ymqtS0bA/upolOM0qlIIetKI21FOYz19ntpQNTZW8a9o/xoHAb++aVDePX4U25hQJPuqLDkSD4175vgKbrJSqyg7UUurg0w1/TYbuJoZ0Ekbbe1T4Mp8DnBx7Kcs4xXpXzUGNzRXvDMxkjL3Gnueq/Uz7D6koyduh232qp8fT3F6TdrO15bMc8y5HzfP1J4/8ARt7enjXRU8SyKyOqsrZDKwyrDyINY/xfwFcafI15pDMF3723zz+id2HdH0Zo/ZjI86syuP6Zyx2yaysZJ3WOJWkkc4VVG5+7wro3sk7Mo9PUXF0Flu2wygjKwbequfH91Ursr4s02GYtPbLZ3chCltzA/tjJ/gvca3W11FJF5lYYxnqOnw2xXow1e3DPolxHpltcRMLqON0CnJcDIHnnG1cpcb2tnHeGOzkb5vzDmZssEJbflz1wu+PZWk9unaGcmytHPTE0it57cgIrDe88z9/9+tay0mLrnsoXT4rNIrCeKYKB3jKw52kO5LDqDnO3sqz61qsdtC0sjcqqOtY12D8IjkS6lUqOXmXfl52bpnB3AH51ofGnCUeoQiJ5ZUVTzDlb8CD1FWU+XOXFusG7uZp2PNzOeU/xBnl28KvnycdMZ7qW5x6EKhMkZyzb4HtGPxqmcR8NRW1w0PfFgvV+X29Nt+grbuxhbW0sY4luIWkdmkkwwDczHxB3zjFYk3e2rWiTwow9JVbx3AI/GuWO1WRDql1yqqhWVcKoUbAeAHXeunLy+VUZsghVJ6jwFcj8UXKvd3DqeYNM5yTnO9azTDay9mmuXMN3bQRTSpDLcIJYlb0WB2Ox6eFdMyWqOCrLkEYIJO/s61ydwQ+b60G/+cR9Ou58K6yj6D3D+/vqYrlXK/aPpa2moTxIoVAwZVGcANvtmn3Zhq4tNQt5D6rP3T/oybfnip75Q1gUvI5go5ZYsZHUspPX4Gs4gbpvg+fkfCsXqtzuOzkcEDHj0rFvlBcM7rfRIPsT4zk/ZfGKvPZzxCt1YwSMw7wJySAfbTKnbOfCn3E7iW1mXuWmUowKHC5GN8c1dPcc51XMeg65JazRzRH04mBAPjj6p9n9ldR8HcWQ6hbJOhAYjEiZ9JHHUEDp5/EVyVcMvO3KCo5mAU9VAPQ1p/YLxPHDI9pKUUzHmiblwS3QqX8egrGPTeTUO066LWUoFqt0vKSyO3KV8nXbOx3+FcvLeFCGVmRlPMvKd1IPh8a7AkYEYO4I38iP3VgnbZwULYteWy5ickyKBju2PVhj6tbY2t/ZH2pi4CWt6wE3qxynCiTyB8mxitVuCkilXAZGGCp3BB8MVw/azOzeiSGzlSPMYwc+BrpfsquNUu7aNJ4X5VYKbljyq0eBv6XpMfhS2T2TG1EcV9mFt84WSz5gHYlrVN+8bI9FG+ohPU+ytU4I0D5jCVkKGaQ5cRjlijAAAiiHXlGB6XicnxqYs7OOBcKBzYwX8TnrjyFfZHxivNld16cJqPUj1Ga3aR3EMsMo5o5o2jcfxXGDTmVttuuabyy5GPGsN7cI8ccPSabez2kgwYZMKftRNvE48SCvLv76g5BXTnyoODfnNuuoQj6a1HLOB9e3J9bbclTg/CuZJBXu4ctx4uXDVJxtg0A5YV5avsB9Kt1zhWcYpsOuaVuTnJpI9KI9NNsQfhSAGTX2RunspOWTlGB18abWPlxL4DoKeaLa87qDuPH3UztouY1bNItRGhc+sfwFIWlriAP6OcDw9lJWejgEEnmpazmVjuafrcIg611czqCLlHQbUSzAeNRd5q6+BqKutT5qCdm1FRTSS/znFV6WUmvUUxqK6rD7D4V7U+2m8TbD2gflSqvXz9PZKcxmlkemaN0pZZPCouz23b2UqjgeH/imasaUWT8qB3G2fZSvMfCmaP7KUjl3xTRs7Un7q+xvTXnJPlXoN7cVF2dmT4UosgpnnHtr2Hx/ZRNnTP4ClFkA26+2mavSgOcZ/OquzvnHj40LJjr08MUykfwoD7EVFOy9euYe/wB1MxJ7+mK8NcighuKOCrG/DGSPu5SP4aL0XyfFx0f41RJuH9X0kN80k+f2hHpQsW5uXfIRPWRsfZHvrUJLkeefLHhScl6vmaiueZ7G3ui5jlNrdZJe1vMr6W+0dwds+wjxpHhDhOa5vI7d42UBg0ocYHdg78p6Nmtq4j0m0vVxcQxufBwOWQe0Ou+aqiaHdafk2Nw0sY/0EwVmXP2XJyR8a3jnr253FuGlQpBEkUY5VjUKB7AMUy4w1tbS2llO/Kpxg43xtWW2HaNNb4W7jkj9rJzL9+OlIceaxJqkSLamKRVOXCyjnPkOU79a7zOVyuNZ5d3zTOzsx5mJJ3zuSatHZRp5uL+LbKxHvJDjbA6A/wB/Cqrc2MkRw8UqH2qcff41q3YPZBVlnPrMQgP8UddvfSexrb20bAhkUg7EEDBHtHlXP3brY2ttcxrbQRwswJfu/RDe3kBwN/Gt772ucO3O559RfOPRRQB4+NXKJirGm37RSJLGeV42VkbrysDsf7+ddRdnVxJdWME87s0sqcz4YhTucYHhtiuTIBXVHZM5GmWoPhEPbWcfbeRx2iaHFcWkvMgeREJRm3ZTjqD1rmckhiD4HH766y1JeeN1B9ZWH3iuUddUR3EyEjKyup8PrGpmuFan2AaxyzSWzfXXnTcbEdQPbittY7Y865T4KupobqCaOKWTkkBIRHOUJw24GMYOa6QvuJLaBeaaaOPp67qpHvyaY5JlN+mIdtXDPzK6M0SgQXGW22CP4jbYf2VnAuWRlkQ8rqwdT4grvW69ofGWlX0LW4l+cSEjkEEbTyK56FVQdetQHC/ZnFcKHe3uVQjeS8cW+f0LeEl2P6RFYuWLclXfs946S+sxJIVWWP0JVyOq/WA8BUgZ5dSDwW0AnjYFZJZDywKDt63129g8qc6FwdptmoEcCE7FuuGI8SucVZ7fVFUBVCqo6Kowo+Apc/onHEFwB2Qabp/0kqLd3HMX5pVzEhJyBHGRggeZ8q0JnHQdAMAeAHsFQI1UHxr2t8POud3XSJGRqaXJ+FJNcA+NITS+01GhLPikZJPvpKWQU2aT20V9vAsisrgMjqVZSMqwYYII8RXHXatwo2l3skOD3L5kt2+1Ex9XyLAnH3V15LN7aoXbJwqup2bhQPnMGZIG93rRnzBXm/CtYZarHJjuOTnFeVGDmlu6PMQRgrkMD1BBwVPtyCPhXyRfCvbuPF6Isd968vtXsnwpCWptdPi+Z8PzpFF5mpS5OABTjTYCcVPZ6P8ASLLmYDwByaltUmwOUdBtX2HEKYHU7n+/31EXt1kkCtyMEXmI6V4N63TJpvI1JirskKtKT418BNfBTmG3LVKCNScU9SH2Ura2+Kk7W1HU1UdIWx9Fdvqj8qWU4/8AFMYZgFXLDoPEeQ604WXPQj4dK8T1HKsPH9lKRgHw/KmYavazDzA9+KKXuHA5fDr+ynasKibqTdcEEb/sp8rfCkgeCvaEDyz8KbB6+CYeY+8bVdIUnlGfh8K9Wjjfx2/v+VMbiXfrkYHSlrJuvwqLEmr+yvoI+NNQ3iK9h9v21B7uZcD40iZNvfXm6k9E/CmLz7GpWklbel7BTgzDHlUYk3Ko38PxpOW7yKshvSQluf7+VN5pweu9Qg1TmJXGBvg+6k3u+tWRLkcXt0VPU+8eVJ2t9nm38v21EapcZXJ8CPx/uKaafdZ5t/L9tPFPJYpbqmGo3mOXHt6Uze4qN1e7IC+8/sq2JtYFuAVGcHKjqAfD21CcSRQpE8ixqsgA5WVeU8xI32r1b3Horn7K/lUdxNLzREe0fgasxLWcy8fXNtPIueZUkIA5m6e7pVh0rtlCYEkTp5tGEOT7tjWXcQ/5zN/7jVGVu8cZ8q6G0ntjMjqkQJJDH04yuAB5rLj8KR1LiCC4kMk1pEzt6zB5FJ/Gsd4Gf/KAP4kn5VfKTHRtPxapZjrZAjy7+T91O9R7ZF09Y4Y7U8nJlAJm2wcEfwfu++qrVR7Ro9oH8jIv3hW/6TV8TbatO7XZ5oUkWCNecc2GkkbbJA6Yz0/Goy/4ymkJYRWsbHcslunNn9JwTmqVocfJbwr5RJ/NBp5TxhtK6lxNdOjc00pAVsAOUA2Pgm1Z7w9qTSXMfPhgeYnmyxOI3PVjmrTceq36LfkaofCDZuofbz//AFPUuMJXZHDUlvbxr3EUUQZVJ5EVT6oO5xk9TTufWBk71QbHUCEA8gB9wAom1LbJIA8ycVx8Xfa13Ot48ahH4jPMd+jH86r0uqL9tf1h++oG4v8A0mOfrNgjyzV0m2mWvEPmal7PXQR1rGU1M+dSFjrZBxk1NLttEGqBvGnXz3PjWX6Xr2fGrDa6rnG9Z0sq2Nc/lTd56h474Eda9G5o1KfSSe0Ug02KaSXGelJd7UXcYZ288HG2ka/tlxbzPmdR0ilbbn/QNZYJMj3111qkEc8bxSqHjkUo6kA5U/t8fhXMfHfDradctCcmM+lA+Nmj64z9odDXfiz+Hm5MPlXfGkwvpewV6kbekpHwD5mu7jITC87Y9tT+npjp4VEWC4yfHwqWsDnNTH2UteyY671CTvTu/nycVHMa1tH3mr6K8gUrEtNrYWtoh41JQDHSkrS2LYwKmrKxC9asZfLSAmnc7hBXie4C7Coq+uT51Ub+rdPcPyqSsn9EH2n86iEfYfCpOxb0B7z+deLT0Hgb+/hTO7Yc3wFLg5pOGSMXEXegmISRGUdcxh1LjA3Pog1VeEfoKmAa1/S9D0O4tGvY7Nfm6rNISyyq/LBzd56HPnPoN+FI8C6RpuoG7ljtlMAuEjgEgkRlQWtuXHLz5A74yn41rxTbKlc1Hht/zrQrUadfapZxWUJW1KSGdWR0DsiySeLZI5VH31Y+0Tg+xisLqS2t445oQjc6l8qBJG0g3bH8ET99Tx2bY33m2aeWb+j8f3VpXD3D9jY6Wt/d24u5GSORgwDYE0ipGkaOeQYEiEnr1pzxfwja293p5iiCRXN2LeaEE92cqXBUZyuyOMD2fF4m2aCShZsjr4n8yK1yfhiyGowwfN4+6axuZmTL7yJcWyK3rZ9WRx8ayztGjS2v7uCFBHFE0QRFzhea1glbqc+vIx+NLguzC5uNjuOhqFluR51vfE3Bll8xuXito1nWzleNgXyJFhZlOC2M8wFNpeBNOSwLtaRNMliXaQl+Yyrb8xc+ljPOM1fBPJjEl1jxpo91Wv8AD+iaXHpFvfXlsjhbWOaeQCRnJYgFgqtuckbVjnFV7BJdXDWimO1Mn0CFSpCciA+ixyPT56uk2hoLr0xjzP5GnUlxVfs5/TH8r8jUg0uaSJt91Of6Nvh/OFMtIkzz/wAn9tfdRYCNvh+Ypnoz7v8Ayf8AqoJcvUbrkmyj2n9lOi1IXESvjmztnG9A4tX9BP0V/KvGoekpHsrymFAA6AAD4UE1RhvEylbqcHr3h/sqMYVcuPtLJleRRuGOQPFc/nVOH9/7+daRM8D/AOdL+hJ+Qq/1QeCf86X9CT8hV+qqKrnaFFzW6kdVlX/mV1/Nlqwc/pcv8Xm+44P5imev2/eRcv8AvIT90yZ/DNA9iXlAH2VA+4Yr1RSdu/MoPnn8zj8KAufUf9Bv5pqi9nsXPe24HQc5PuET/tq9XPqP+g35Gq/2bWfdOruPTYMB7FCH9tZyWNbiuNqZ6tc/Rvv5fmKa9/Ta/YujKCAWx16dQfD3Vz06bRst1SBu/bXh9Ol+2n/N/RqvTXuD18cfdWdLvaxPe4ryt57arDX9e47yrpVws9WKHrVn0vXs7c29ZhFdU6gviD1NTQ2Wz1XPU1JxamPOsl07XDtk5qw2WrhvH4U0sq+i88j1r01zVThv/bTyG9rLW080+elVftE4fGoWrIMd9H9JCx+2PqH+KcfjUpHc17Mmfzp8pZtyxcxMjsjAqykqynqpHgc0kIs1svapwV845rq2A78DMqDH0gG5Yfx/3VjMmVJByCNiPEez316MctvPljo4iUipC2k5VPtphaHOKeykYArpGDG4JpGnMiknantjp3i3Srpn0Y21qWOwNTlnpwAy1fJL1IxhQNqjLzU2bxp1DtP/ADmNNhXl7rO4NVUzkmpO1lIG9Npo9mlqNuWzml5nzSCKTW5E26J5thUlYH0B7z+dRKtkfAVJae3oD4/nXjj0U8BplfN6XwFPAajr5/TPuFWpG89nxzw3L/8ApdT/ADuKW7AP8zn/AP1X/wDTDVA4Z7RobXSn09oJ3kaK7jEqmIRg3Jl5SQz82B3g8PCnnZrx7FpkEkUkE0zPN3oMTRgAd2iYPOwOcoa0LHwDqVtfasstpai0hgsZAUCQxhpTLy8+IdvUkA38qud5p8stvqscq4FybgQekpzE1lDCrbH0T3iPsfZVBtO06xhm72HT5YvojGViFqnNlw+W5GwfVH3mmWg9sqRSXbXEN1Mk1yZLdA8Z7iDkVRF6T4G6k4H2jTaaWTiR88MIR42lgfvnt6Z39hqkN3ph1K8juIzqMYjSNVGJu7lPN6Nup5eTvB18RVZ4Y7UrWOz+ZahZyzwISsfdd0xaFZe8hSVJJFAdcIMhvqj4nEvaZ87vbObuHjtLGfvxGWQzzSYwWblPdphOYBeY+u2T5FbVNqSC7jtuQ949tLOsmFwI4pYY2QnPNktMp/kmue+1+bGragP49v8A/wCha1Zrvtct/nsd381uuSKzntzGGhLs009vIGX08coELeP1hWacZ8QLqN9d3SRyQpO0JVJeXnXktoYDnlOPWiJ6+Iq1HUU1yA9tE3qzxTKQehKxxvj9UP8AjTLU7sPDqaDpbwvFjyJsUm/KYVlWq9r0Ek9hIltcqtlJM8oZocypJaS24VMP153Vt/s1Ex9s9vH/AIUWS1ui2oTSSRcrQYiRrG3tI1kzJ62YC22etBpPD+oQW/DlvPcwi4t47CFpYCqOJFyo5eWT0G9Ig7+Vc+8RahHcXM80EXcQySs8MPKi93HsAvLH6A6Hp51pHCvaxaW1hbWU9lPcCG3jhk/zZopCv8SR91yB1FZxxnq0V5eTXEEPzaCQp3cHLGvdhYY0b0YvQGXV2/lUqKTLJua8M+2K8QrzuFzjJO/uBP7KeNpn8f8A5f7ayGDyk1IaG/r/AMn/AKqa3djyKW5848MY8QPP2190CXeT+R/1UNJovQWpHvKjdZvmjC8uN85zv0xVVKlq+F6aWsvMiserKpPvIzXotQQGrqGeQbesd/LeqXreinJaPqdyvgfd7atWpS/Syfpt+dNXcEb1neiqzwWhW6AYEHkk6j2Cr7UZotupnU435W3+FTr23lXSUQ80mLmJftQT/wDK8P7zT0j9n4HP54qP1OBhd2p8OWdT/KVcfiBUt3Jq7CLHAJ8gTTPQGLW8LeLRIx+IzTvUU5YpD5Rv/NP7686FGFt4R5RIPuFNhdo/RYn7Lfkar3D8/wBPGP0v5jVZLk+g36LfkapXDL/5RF/L/wDresVqL6ZK8mSkSaZ61ctFC7pjmUAjIyPWA3HxqpKkOes0uJSWPvb86kv8aJ/93+of6VQjtnJ8zn76xa1ChevccppvmjNRUjHPTlJc1Eq2KWWSipiG5IqStNQPnVdSWlVmqel2vdhq/tqas9Qz41m1tc4xU/pt7U1slX23ufbTtbiqzYXeR7ak4Z/KstbSwlzWO9sOid1OtxGuEnH0mBsso92wyPyrVhJTLiDTUu4Hhk6ODynxVvqsPjWsbqs5TbALWTBx507kkpPWdNktZWikGGQ9fBh4MPZiklfIr0SuFh3bzgdaLm/zsOlR714Jq7TRSSQmvFAFelFQeox0qRDYApraJkinM5q4pTmAA04jhqJSTHjT2G7rptjTeA3T3VK6f6o95/OoaN/vxUrpx9Ee8/nXld6ec9R1++HyemBvT0tUZqO7HP2RRY1W77Iu7SWU3ZMUQlfm+bjeKO0W5D/w22XJTHszSi9mpYWpS7VhczpAzrCeRS9s9yXhfnxPGAhTO24PlUBqPazdS2s1q0MISawFiXDScyju5InnA6d4Vk6fxRUt/wDk+WR4GkgjRIrmK4doGbvWMdu1thRNmNQUPq48PM5q9IdJ2bDvFX559EbYXDSfN/SHNMIUQR97vvvnPhTGw7JmfvA14qSR3N1aqq25dXa3iMyuX70FQUA2xt7aX1HtQPfq8FsDAtotsyXBCNIwm74SYt/RiAIAwM5yajrHtQuYuZmht5He6ubpmJdBzXEbRd2qg7RhCB1z6IzV6No/gDgE6pbC6S4KYmmiePuefBigWZDzd4M5LBem2at9r2Z27pLbm4YXa3y2yz92Sm+mx3xiMIlx9dvTz4dN6oPBXHk+kQm1gjSRZp4p2d2YMphMRdFC7crLEF/lGpWz7VbmKWSX5vbs0t+18QXlADGxFgsQ8eQRqGz7KTSFX7OpDYRXguE55ltnWFoyE5LqZYUAm58mQc6sRy9DUzZdlkUF5DFczG5hlhvMqFa3dZrdUKsOWQloiGJBz4VSL3tIuUso7cQ24eBLaMXPK7SdzaziaKNUJ5FPNgF/EU4tu2K4luVnWztYzGlyWRWkPey3fKryvIfSAATZP4x+FH3s14CfV7Vrn5wsGJO4QGIyKZe4E5aRu8HdxYdFzg7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- "text/html": [ - "\n", - " \n", - " " - ], - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.signal.exercise_aliasing_visual(show_result=show_result) " ] @@ -919,7 +532,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/PCP_09_dft.html b/PCP_09_dft.html index d588307..ae858da 100644 --- a/PCP_09_dft.html +++ b/PCP_09_dft.html @@ -1,16 +1,90 @@ - - - -PCP_09_dft - - - - - + + + +PCP_09_dft + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
    -
    - +
    +
    +
    -PCP Teaser +PCP Teaser
    @@ -13091,17 +13097,17 @@
    -

    Unit 9: Discrete Fourier Transform (DFT)

    @@ -13109,13 +13115,10 @@

    Unit 9: Discrete Fourier Trans
    -

    +

    Overview and Learning Objectives

    - - -The Fourier transform is one of the most important tools for a wide range of engineering and computer science applications. The general idea of Fourier analysis is to decompose a given signal into a weighted superposition of sinusoidal functions. Since these functions possess an explicit physical meaning regarding their frequencies, the decomposition is typically more accessible for subsequent processing steps than the original signal. Assuming that you are familiar with the Fourier transform and its applications in signal processing, we review in this unit the discrete variant of the Fourier transform known as Discrete Fourier Transform (DFT). We define the inner product that allows for comparing two vectors (e.g., discrete-time signals of finite length). The DFT can be thought of as comparing a given signal of finite length with a specific set of exponential signals (a complex variant of sinusoidal signals), each comparison yielding a complex-valued Fourier coefficient. Then, using suitable visualizations, we show how you can interpret the amplitudes and phases of these coefficients. Recall that one can express the DFT as a complex-valued square matrix. We show how separately plotting the real and imaginary parts leads to beautiful and insightful images. Applying a DFT boils down to computing a matrix–vector product, which we implement via the standard NumPy function np.dot. Since the number of operations for computing a DFT via a simple matrix–vector product is quadratic in the input length, the runtime of this approach becomes problematic with increasing length. This issue is exactly where the fast Fourier transform (FFT) comes into the game. We present this famous divide-and-conquer algorithm and provide a Python implementation. Furthermore, we compare the runtime behavior between the FFT implementation and the naive DFT implementation. We will further deepen your understanding of the Fourier transform by considering further examples and visualization in the exercises. In Exercise 1, you will learn how to interpret and plot frequency indices in a physically meaningful way. In Exercise 2, we discuss the issue of loosing time information when applying the Fourier transform, which is the main motivation for the short-time Fourier transform. In Exercise 3, you will apply the DFT to a chirp signal, which yields another illustrative example of the DFT's properties. Finally, in Exercise 4, we will invite you to explore the relationship between the DFT and its inverse. Again, an overarching goal of this unit is to apply and deepen your Python programming skills within the context of a central topic for signal processing. - +

    The Fourier transform is one of the most important tools for a wide range of engineering and computer science applications. The general idea of Fourier analysis is to decompose a given signal into a weighted superposition of sinusoidal functions. Since these functions possess an explicit physical meaning regarding their frequencies, the decomposition is typically more accessible for subsequent processing steps than the original signal. Assuming that you are familiar with the Fourier transform and its applications in signal processing, we review in this unit the discrete variant of the Fourier transform known as Discrete Fourier Transform (DFT). We define the inner product that allows for comparing two vectors (e.g., discrete-time signals of finite length). The DFT can be thought of as comparing a given signal of finite length with a specific set of exponential signals (a complex variant of sinusoidal signals), each comparison yielding a complex-valued Fourier coefficient. Then, using suitable visualizations, we show how you can interpret the amplitudes and phases of these coefficients. Recall that one can express the DFT as a complex-valued square matrix. We show how separately plotting the real and imaginary parts leads to beautiful and insightful images. Applying a DFT boils down to computing a matrix–vector product, which we implement via the standard NumPy function np.dot. Since the number of operations for computing a DFT via a simple matrix–vector product is quadratic in the input length, the runtime of this approach becomes problematic with increasing length. This issue is exactly where the fast Fourier transform (FFT) comes into the game. We present this famous divide-and-conquer algorithm and provide a Python implementation. Furthermore, we compare the runtime behavior between the FFT implementation and the naive DFT implementation. We will further deepen your understanding of the Fourier transform by considering further examples and visualization in the exercises. In Exercise 1, you will learn how to interpret and plot frequency indices in a physically meaningful way. In Exercise 2, we discuss the issue of loosing time information when applying the Fourier transform, which is the main motivation for the short-time Fourier transform. In Exercise 3, you will apply the DFT to a chirp signal, which yields another illustrative example of the DFT's properties. Finally, in Exercise 4, we will invite you to explore the relationship between the DFT and its inverse. Again, an overarching goal of this unit is to apply and deepen your Python programming skills within the context of a central topic for signal processing.

    @@ -13123,20 +13126,21 @@

    Overview and Learning Objectives

    -

    -

    Inner Product

    In this notebook, we consider discrete-time (DT) signals of finite length $N\in\mathbb{N}$, which we represent as vector

    -$$ +

    +

    Inner Product

    In this notebook, we consider discrete-time (DT) signals of finite length $N\in\mathbb{N}$, which we represent as vector

    +

    $$ x=(x(0),x(1),...,x(N-1))^\top\in\mathbb{R}^N -$$

    +$$

    with samples $x(n)\in\mathbb{R}^N$ for $n\in[0:N-1]$. Note that $\top$ indicates the transpose of a vector, thus converting a row vector into a column vector. Furthermore, note that we start indexing with the index $0$ (thus adapting our mathematical notation to Python conventions). A general concept for comparing two vectors (or signals) is the inner product. Given two vectors $x, y \in \mathbb{R}^N$, the inner product between $x$ and $y$ is defined as follows:

    -$$ +

    $$ \langle x | y \rangle := \sum_{n=0}^{N-1} x(n) y(n). -$$

    The absolute value of the inner product may be interpreted as a measure of similarity between $x$ and $y$. If $x$ and $y$ are similar (i.e., if they point to more or less the same direction), the inner product $|\langle x | y \rangle|$ is large. If $x$ and $y$ are dissimilar (i.e., if $x$ and $y$ are more or less orthogonal to each other), the inner product $|\langle x | y \rangle|$ is close to zero.

    +$$

    +

    The absolute value of the inner product may be interpreted as a measure of similarity between $x$ and $y$. If $x$ and $y$ are similar (i.e., if they point to more or less the same direction), the inner product $|\langle x | y \rangle|$ is large. If $x$ and $y$ are dissimilar (i.e., if $x$ and $y$ are more or less orthogonal to each other), the inner product $|\langle x | y \rangle|$ is close to zero.

    One can extend this concept to complex-valued vectors $x,y\in\mathrm{C}^N$, where the inner product is defined as

    -$$ +

    $$ \langle x | y \rangle := \sum_{n=0}^{N-1} x(n) \overline{y(n)}. -$$

    In the case of real-valued signals, the complex conjugate does not play any role and the definition of the complex-valued inner product reduces to the real-valued one. In the following code cell, we give some examples.

    - +$$

    +

    In the case of real-valued signals, the complex conjugate does not play any role and the definition of the complex-valued inner product reduces to the real-valued one. In the following code cell, we give some examples.

    @@ -13154,16 +13158,15 @@

    Inner Product

    In the following, we generate and visualize three signals $x_1$, $x_2$, $x_3$. Then, we compute and discuss different inner products using the signals.

    -

    -
    In [1]:
    +
    In [1]:
    -
    -
    import numpy as np
+
    
+
    import numpy as np
 from matplotlib import pyplot as plt
 import libpcp.signal
 %matplotlib inline
@@ -13174,8 +13177,8 @@ 
    Inner Productx2, t = libpcp.signal.generate_sinusoid(dur=dur, Fs=Fs, amp=1, freq=2, phase=0.3)
 x3, t = libpcp.signal.generate_sinusoid(dur=dur, Fs=Fs, amp=1, freq=6, phase=0.1)
 
-def plot_inner_product(ax, t, x, y, color_x='k', color_y='r', label_x='x', label_y='y'):
-    """Plot inner product
+def plot_inner_product(ax, t, x, y, color_x='k', color_y='r', label_x='x', label_y='y'):
+    """Plot inner product
 
     Notebook: PCP_09_dft.ipynb
 
@@ -13184,59 +13187,45 @@ 
    Inner Product        t: Time axis
         x: Signal x
         y: Signal y
-        color_x: Color of signal x (Default value = 'k')
-        color_y: Color of signal y (Default value = 'r')
-        label_x: Label of signal x (Default value = 'x')
-        label_y: Label of signal y (Default value = 'y')
-    """
-    ax.plot(t, x, color=color_x, linewidth=1.0, linestyle='-', label=label_x)
-    ax.plot(t, y, color=color_y, linewidth=1.0, linestyle='-', label=label_y)
+        color_x: Color of signal x (Default value = 'k')
+        color_y: Color of signal y (Default value = 'r')
+        label_x: Label of signal x (Default value = 'x')
+        label_y: Label of signal y (Default value = 'y')
+    """
+    ax.plot(t, x, color=color_x, linewidth=1.0, linestyle='-', label=label_x)
+    ax.plot(t, y, color=color_y, linewidth=1.0, linestyle='-', label=label_y)
     ax.set_xlim([0, t[-1]])
     ax.set_ylim([-1.5, 1.5])
-    ax.set_xlabel('Time (seconds)')
-    ax.set_ylabel('Amplitude')
+    ax.set_xlabel('Time (seconds)')
+    ax.set_ylabel('Amplitude')
     sim = np.vdot(y, x)
-    ax.set_title(r'$\langle$ %s $|$ %s $\rangle = %.1f$' % (label_x, label_y, sim))
-    ax.legend(loc='upper right')    
+    ax.set_title(r'$\langle$ %s $|$ %s $\rangle = %.1f$' % (label_x, label_y, sim))
+    ax.legend(loc='upper right')    
 
 plt.figure(figsize=(8, 5))
 ax = plt.subplot(2, 2, 1)
-plot_inner_product(ax, t, x1, x1, color_x='k', color_y='k', label_x='$x_1$', label_y='$x_1$')
+plot_inner_product(ax, t, x1, x1, color_x='k', color_y='k', label_x='$x_1$', label_y='$x_1$')
 ax = plt.subplot(2, 2, 2)
-plot_inner_product(ax, t, x1, x2, color_x='k', color_y='r', label_x='$x_1$', label_y='$x_2$')
+plot_inner_product(ax, t, x1, x2, color_x='k', color_y='r', label_x='$x_1$', label_y='$x_2$')
 ax = plt.subplot(2, 2, 3)
-plot_inner_product(ax, t, x1, x3, color_x='k', color_y='b', label_x='$x_1$', label_y='$x_3$')
+plot_inner_product(ax, t, x1, x3, color_x='k', color_y='b', label_x='$x_1$', label_y='$x_3$')
 ax = plt.subplot(2, 2, 4)
-plot_inner_product(ax, t, x2, x3, color_x='r', color_y='b', label_x='$x_2$', label_y='$x_3$')
+plot_inner_product(ax, t, x2, x3, color_x='r', color_y='b', label_x='$x_2$', label_y='$x_3$')
 plt.tight_layout()
 
    
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    @@ -13245,39 +13234,41 @@

    Inner Product
  • The signal $x_1$ is similar to itself, leading to a large value of $\langle x_1 | x_1 \rangle=40.0$.
  • The overall course of the signal $x_1$ strongly correlates with the sinusoid $x_2$, which is reflected by a relatively large value of $\langle x_1 | x_2 \rangle=29.9$.
    • -
  • There are some finer oscillations of $x_1$ that are captured by $x_3$, leading to a still noticeable value of $\langle x_1 | x_3 \rangle=14.7$.
    • -
  • The two sinusoids $x_2$ and $x_3$ are more or less uncorrelated, which is revealed by the value of $\langle x_2 | x_3 \rangle\approx 0$.
    • +
  • There are some finer oscillations of $x_1$ that are captured by $x_3$, leading to a still noticeable value of $\langle x_1 | x_3 \rangle=14.7$.
    • +
  • The two sinusoids $x_2$ and $x_3$ are more or less uncorrelated, which is revealed by the value of $\langle x_2 | x_3 \rangle\approx 0$.

    • In other words, the above comparison reveals that the signal $x_1$ has a strong signal component of $2~\mathrm {Hz}$ (frequency of $x_2$) and $6~\mathrm {Hz}$ (frequency of $x_3$). Measuring correlations between an arbitrary signal and sinusoids of different frequencies is exactly the idea of performing a Fourier (or spectral) analysis.

    -

    -

    -

    Definition of DFT

    Let $x\in \mathbb{C}^N$ be a vector of length $N\in\mathbb{N}$. The discrete Fourier transform (DFT) of $x$ is defined by:

    -$$ X(k) := \sum_{n=0}^{N-1} x(n) \exp(-2 \pi i k n / N) $$

    for $k \in [0:N-1]$. The vector $X\in\mathbb{C}^N$ can be interpreted as a frequency representation of the time-domain signal $x$. To obtain a geometric interpretation of the DFT, we define the vector $\mathbf{e}_k \in\mathbb{C}^N$ with real part $\mathbf{c}_k=\mathrm{Re}(\mathbf{e}_k)$ and imaginary part $\mathbf{s}_k=\mathrm{Im}(\mathbf{e}_k)$ by

    -$$\mathbf{e}_k(n) := \exp(2 \pi i k n / N) = \cos(2 \pi i k n / N) + i \sin(2 \pi i k n / N) -= \mathbf{c}_k(n) + i \mathbf{s}_k(n)$$

    for each $k \in [0:N-1]$.

    +

    +

    Definition of DFT

    Let $x\in \mathbb{C}^N$ be a vector of length $N\in\mathbb{N}$. The discrete Fourier transform (DFT) of $x$ is defined by:

    +

    $$ X(k) := \sum_{n=0}^{N-1} x(n) \exp(-2 \pi i k n / N) $$

    +

    for $k \in [0:N-1]$. The vector $X\in\mathbb{C}^N$ can be interpreted as a frequency representation of the time-domain signal $x$. To obtain a geometric interpretation of the DFT, we define the vector $\mathbf{e}_k \in\mathbb{C}^N$ with real part $\mathbf{c}_k=\mathrm{Re}(\mathbf{e}_k)$ and imaginary part $\mathbf{s}_k=\mathrm{Im}(\mathbf{e}_k)$ by

    +

    $$\mathbf{e}_k(n) := \exp(2 \pi i k n / N) = \cos(2 \pi i k n / N) + i \sin(2 \pi i k n / N) += \mathbf{c}_k(n) + i \mathbf{s}_k(n)$$

    +

    for each $k \in [0:N-1]$.

    This vector can be regarded as a sampled version of the exponential function of frequency $k/N$. Using inner products, the DFT can be expressed as

    -$$ X(k) = \sum_{n=0}^{N-1} x(n) \overline{\mathbf{e}_k}(n) = \langle x | \mathbf{e}_k \rangle,$$

    thus measuring the similarity between the signal $x$ and the sampled exponential functions $\mathbf{e}_k$. The absolute value $|X(k)|$ indicates the degree of similarity between the signal $x$ and $\mathbf{e}_k$. In the case that $x\in \mathbb{R}^N$ is a real-valued vector (which is typically the case for audio signals), we obtain:

    -$$ +

    $$ X(k) = \sum_{n=0}^{N-1} x(n) \overline{\mathbf{e}_k}(n) = \langle x | \mathbf{e}_k \rangle,$$

    +

    thus measuring the similarity between the signal $x$ and the sampled exponential functions $\mathbf{e}_k$. The absolute value $|X(k)|$ indicates the degree of similarity between the signal $x$ and $\mathbf{e}_k$. In the case that $x\in \mathbb{R}^N$ is a real-valued vector (which is typically the case for audio signals), we obtain:

    +

    $$ X(k) = \langle x |\mathrm{Re}(\mathbf{e}_k) \rangle - i\langle x | \mathrm{Im}(\mathbf{e}_k) \rangle = \langle x |\mathbf{c}_k \rangle - i\langle x | \mathbf{s}_k \rangle -$$

    The following plot shows an example signal $x$ compared with functions $\overline{\mathbf{e}_k}$ for various frequency parameters $k$. The real and imaginary part of $\overline{\mathbf{e}_k}$ are shown in red and blue, respectively.

    - +$$

    +

    The following plot shows an example signal $x$ compared with functions $\overline{\mathbf{e}_k}$ for various frequency parameters $k$. The real and imaginary part of $\overline{\mathbf{e}_k}$ are shown in red and blue, respectively.

    -
    In [2]:
    +
    In [2]:
    -
    -
    def plot_signal_e_k(ax, x, k, show_e=True, show_opt=False):
-    """Plot signal and k-th DFT sinusoid
+
    
+
    def plot_signal_e_k(ax, x, k, show_e=True, show_opt=False):
+    """Plot signal and k-th DFT sinusoid
 
     Notebook: PCP_09_dft.ipynb
 
@@ -13287,31 +13278,31 @@ 
    Definition of DFT        k: Index of DFT
         show_e: Shows cosine and sine (Default value = True)
         show_opt: Shows cosine with optimal phase (Default value = False)
-    """
+    """
     N = len(x)
     time_index = np.arange(N)
-    ax.plot(time_index, x, 'k', marker='.', markersize='10', linewidth=2.0, label='$x$')
-    plt.xlabel('Time (samples)')
+    ax.plot(time_index, x, 'k', marker='.', markersize='10', linewidth=2.0, label='$x$')
+    plt.xlabel('Time (samples)')
     e_k = np.exp(2 * np.pi * 1j * k * time_index / N)
     c_k = np.real(e_k)
     s_k = np.imag(e_k)
     X_k = np.vdot(e_k, x)
 
-    plt.title(r'k = %d: Re($X(k)$) = %0.2f, Im($X(k)$) = %0.2f, $|X(k)|$=%0.2f' %
+    plt.title(r'k = %d: Re($X(k)$) = %0.2f, Im($X(k)$) = %0.2f, $|X(k)|$=%0.2f' %
               (k, X_k.real, X_k.imag, np.abs(X_k)))
     if show_e is True:
-        ax.plot(time_index, c_k, 'r', marker='.', markersize='5',
-                 linewidth=1.0, linestyle=':', label='$\mathrm{Re}(\overline{\mathbf{u}}_k)$')
-        ax.plot(time_index, s_k, 'b', marker='.', markersize='5',
-                 linewidth=1.0, linestyle=':', label='$\mathrm{Im}(\overline{\mathbf{u}}_k)$')
+        ax.plot(time_index, c_k, 'r', marker='.', markersize='5',
+                 linewidth=1.0, linestyle=':', label='$\mathrm{Re}(\overline{\mathbf{u}}_k)$')
+        ax.plot(time_index, s_k, 'b', marker='.', markersize='5',
+                 linewidth=1.0, linestyle=':', label='$\mathrm{Im}(\overline{\mathbf{u}}_k)$')
     if show_opt is True:
         phase_k = - np.angle(X_k) / (2 * np.pi)
         cos_k_opt = np.cos(2 * np.pi * (k * time_index / N - phase_k))
         d_k = np.sum(x * cos_k_opt)
-        ax.plot(time_index, cos_k_opt, 'g', marker='.', markersize='5',
-                 linewidth=1.0, linestyle=':', label='$\cos_{k, opt}$')
+        ax.plot(time_index, cos_k_opt, 'g', marker='.', markersize='5',
+                 linewidth=1.0, linestyle=':', label='$\cos_{k, opt}$')
     plt.grid()
-    plt.legend(loc='lower right')
+    plt.legend(loc='lower right')
 
 
 N = 64
@@ -13324,105 +13315,83 @@ 
    Definition of DFTplt.tight_layout()
 
    
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    DFT Phase

    At first sight, the DFT may be a bit confusing: Why is a real-valued signal $x$ compared with a complex-valued sinusoid $\mathbf{e}_k$? What does the resulting complex-valued Fourier coefficient

    -$$ +

    +

    DFT Phase

    At first sight, the DFT may be a bit confusing: Why is a real-valued signal $x$ compared with a complex-valued sinusoid $\mathbf{e}_k$? What does the resulting complex-valued Fourier coefficient

    +

    $$ c_k:= X(k) := \langle x |\mathrm{Re}(\mathbf{e}_k) \rangle - i\langle x | \mathrm{Im}(\mathbf{e}_k) \rangle. -$$

    encode? To understand this, we represent the complex number $c_k$ in form of its polar representation

    -$$ +$$

    +

    encode? To understand this, we represent the complex number $c_k$ in form of its polar representation

    +

    $$ c_k = |c_k| \cdot \mathrm{exp}(i \gamma_k), -$$

    where $\gamma_k$ is the angle (given in radians). Furthermore, let $\mathbf{cos}_{k,\varphi}:[0:N-1]\to\mathbb{R}$ be a sampled sinusoid with frequency parameter $k$ and phase $\varphi\in[0,1)$, defined by

    -$$ +$$

    +

    where $\gamma_k$ is the angle (given in radians). Furthermore, let $\mathbf{cos}_{k,\varphi}:[0:N-1]\to\mathbb{R}$ be a sampled sinusoid with frequency parameter $k$ and phase $\varphi\in[0,1)$, defined by

    +

    $$ \mathbf{cos}_{k,\varphi}(n) = \mathrm{cos}\big( 2\pi (kn/N - \varphi) \big) -$$

    for $n\in[0,N-1]$. Defining $\varphi_k := - \frac{\gamma_k}{2 \pi}$, one obtains the following remarkable property of the Fourier coefficient $c_k$:

    -\begin{eqnarray} +$$

    +

    for $n\in[0,N-1]$. Defining $\varphi_k := - \frac{\gamma_k}{2 \pi}$, one obtains the following remarkable property of the Fourier coefficient $c_k$:

    +

    \begin{eqnarray} |c_k| &=& \mathrm{max}_{\varphi\in[0,1)} \langle x | \mathbf{cos}_{k,\varphi} \rangle,\\ \varphi_k &=& \mathrm{argmax}_{\varphi\in[0,1)} \langle x | \mathbf{cos}_{k,\varphi} \rangle. -\end{eqnarray}

    In other words, the phase $\varphi_k$ maximizes the correlation between $x$ and all possible sinusoids $\mathbf{cos}_{k,\varphi}$ with $\varphi\in[0,1)$. Furthermore, the magnitude $|c_k|$ yields this maximal value. Thus, computing a single correlation between $x$ and the complex-valued function $\mathbf{e}_k$ (which real part coincides with $\mathbf{cos}_{k,0}$, and its imaginary part with $\mathbf{cos}_{k,0.25}$) solves an optimization problem. In the following code cell, we demonstrate this optimality property, where the $\mathbf{cos}_{k,\varphi}$ with optimal phase $\varphi=\varphi_k$ is shown in green.

    - +\end{eqnarray}

    +

    In other words, the phase $\varphi_k$ maximizes the correlation between $x$ and all possible sinusoids $\mathbf{cos}_{k,\varphi}$ with $\varphi\in[0,1)$. Furthermore, the magnitude $|c_k|$ yields this maximal value. Thus, computing a single correlation between $x$ and the complex-valued function $\mathbf{e}_k$ (which real part coincides with $\mathbf{cos}_{k,0}$, and its imaginary part with $\mathbf{cos}_{k,0.25}$) solves an optimization problem. In the following code cell, we demonstrate this optimality property, where the $\mathbf{cos}_{k,\varphi}$ with optimal phase $\varphi=\varphi_k$ is shown in green.

    -
    In [3]:
    +
    In [3]:
    -
    -
    plt.figure(figsize=(8, 15))
+
    
+
    plt.figure(figsize=(8, 15))
 for k in range(1, 8):
     ax = plt.subplot(7, 1, k)
     plot_signal_e_k(ax, x, k=k, show_e=False, show_opt=True)
 
 plt.tight_layout()
 
    
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    DFT Matrix

    Being a linear operator $\mathbb{C}^N \to \mathbb{C}^N$, the DFT can be expressed by some $N\times N$-matrix. This leads to the famous DFT matrix $\mathrm{DFT}_N \in \mathbb{C}^{N\times N}$ matrix, which is given by

    -$$\mathrm{DFT}_N(n, k) = \mathrm{exp}(-2 \pi i k n / N)$$

    for $n\in[0:N-1]$ and $k\in[0:N-1]$. Let $\rho_N:=\exp(2 \pi i / N)$ be the primitive $N^\mathrm{th}$ root of unity. Then

    -$$\sigma_N:= \overline{\rho_N} = \mathrm{exp}(-2 \pi i / N)$$

    also defines a primitive $N^\mathrm{th}$ root of unity. From the properties of exponential functions, one obtains that

    -$$ \sigma_N^{kn} = \mathrm{exp}(-2 \pi i / N)^{kn} = \mathrm{exp}(-2 \pi i k n / N)$$

    From this, one obtains:

    -$$ +

    +

    DFT Matrix

    Being a linear operator $\mathbb{C}^N \to \mathbb{C}^N$, the DFT can be expressed by some $N\times N$-matrix. This leads to the famous DFT matrix $\mathrm{DFT}_N \in \mathbb{C}^{N\times N}$ matrix, which is given by

    +

    $$\mathrm{DFT}_N(n, k) = \mathrm{exp}(-2 \pi i k n / N)$$

    +

    for $n\in[0:N-1]$ and $k\in[0:N-1]$. Let $\rho_N:=\exp(2 \pi i / N)$ be the primitive $N^\mathrm{th}$ root of unity. Then

    +

    $$\sigma_N:= \overline{\rho_N} = \mathrm{exp}(-2 \pi i / N)$$

    +

    also defines a primitive $N^\mathrm{th}$ root of unity. From the properties of exponential functions, one obtains that

    +

    $$ \sigma_N^{kn} = \mathrm{exp}(-2 \pi i / N)^{kn} = \mathrm{exp}(-2 \pi i k n / N)$$

    +

    From this, one obtains:

    +

    $$ \mathrm{DFT}_N = \begin{pmatrix} 1 & 1 & 1 & \dots & 1 \\ @@ -13431,18 +13400,18 @@

    DFT MatrixIn the following visualization, the real and imaginary part of $\mathrm{DFT}_N$ are shown, where the values are encoded by suitable colors. Note that the $k^\mathrm{th}$ row of $\mathrm{DFT}_N$ corresponds to the vector $\mathbf{e}_k$ as defined above.

    - +$$

    +

    In the following visualization, the real and imaginary part of $\mathrm{DFT}_N$ are shown, where the values are encoded by suitable colors. Note that the $k^\mathrm{th}$ row of $\mathrm{DFT}_N$ corresponds to the vector $\mathbf{e}_k$ as defined above.

    -
    In [4]:
    +
    In [4]:
    -
    -
    def generate_matrix_dft(N, K):
-    """Generate a DFT (discete Fourier transfrom) matrix
+
    
+
    def generate_matrix_dft(N, K):
+    """Generate a DFT (discete Fourier transfrom) matrix
 
     Notebook: PCP_09_dft.ipynb
 
@@ -13452,7 +13421,7 @@ 
    DFT Matrix    Returns:
         dft: The DFT matrix
-    """
+    """
     dft = np.zeros((K, N), dtype=np.complex128)
     time_index = np.arange(N)
     for k in range(K):
@@ -13465,63 +13434,48 @@ 
    DFT Matrixplt.figure(figsize=(10, 4))
 
 plt.subplot(1, 2, 1)
-plt.title('$\mathrm{Re}(\mathrm{DFT}_N)$')
-plt.imshow(np.real(dft_matrix), origin='lower', cmap='seismic', aspect='equal')
-plt.xlabel('Time (sample, index $n$)')
-plt.ylabel('Frequency (index $k$)')
+plt.title('$\mathrm{Re}(\mathrm{DFT}_N)$')
+plt.imshow(np.real(dft_matrix), origin='lower', cmap='seismic', aspect='equal')
+plt.xlabel('Time (sample, index $n$)')
+plt.ylabel('Frequency (index $k$)')
 plt.colorbar()
 
 plt.subplot(1, 2, 2)
-plt.title('$\mathrm{Im}(\mathrm{DFT}_N)$')
-plt.imshow(np.imag(dft_matrix), origin='lower', cmap='seismic', aspect='equal')
-plt.xlabel('Time (samples, index $n$)')
-plt.ylabel('Frequency (index $k$)')
+plt.title('$\mathrm{Im}(\mathrm{DFT}_N)$')
+plt.imshow(np.imag(dft_matrix), origin='lower', cmap='seismic', aspect='equal')
+plt.xlabel('Time (samples, index $n$)')
+plt.ylabel('Frequency (index $k$)')
 plt.colorbar()
 plt.tight_layout()
 
    
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    We now write a function that computes the discrete Fourier transform $X = \mathrm{DFT}_N \cdot x$ of a signal $x\in\mathbb{C}^N$. We apply the function from above sampled at $N=64$ time points. The peaks of the magnitude Fourier transform $|X|$ correspond to the main frequency components the signal is composed of. Note that the magnitude Fourier transform is symmetrical around the center. Why? For the interpretation of the time and frequency axis, see also Exercise 1: Interpretation of Frequency Indices</li>

    - +

    We now write a function that computes the discrete Fourier transform $X = \mathrm{DFT}_N \cdot x$ of a signal $x\in\mathbb{C}^N$. We apply the function from above sampled at $N=64$ time points. The peaks of the magnitude Fourier transform $|X|$ correspond to the main frequency components the signal is composed of. Note that the magnitude Fourier transform is symmetrical around the center. Why? For the interpretation of the time and frequency axis, see also Exercise 1: Interpretation of Frequency Indices

    -
    In [5]:
    +
    In [5]:
    -
    -
    def dft(x):
-    """Compute the discete Fourier transfrom (DFT)
+
    
+
    def dft(x):
+    """Compute the discete Fourier transfrom (DFT)
 
     Notebook: PCP_09_dft.ipynb
 
@@ -13530,7 +13484,7 @@ 
    DFT Matrix    Returns:
         X: Fourier transform of x
-    """
+    """
     x = x.astype(np.complex128)
     N = len(x)
     dft_mat = generate_matrix_dft(N, N)
@@ -13541,7 +13495,7 @@ 
    DFT MatrixX = dft(x)
 
 def plot_signal_dft(t, x, X, ax_sec=False, ax_Hz=False, freq_half=False, figsize=(10, 2)):
-    """Plotting function for signals and its magnitude DFT
+    """Plotting function for signals and its magnitude DFT
 
     Notebook: PCP_09_dft.ipynb
 
@@ -13553,7 +13507,7 @@ 
    DFT Matrix        ax_Hz: Plots frequency axis in Hertz (Default value = False)
         freq_half: Plots only low half of frequency coefficients (Default value = False)
         figsize: Size of figure (Default value = (10, 2))
-    """
+    """
     N = len(x)
     if freq_half is True:
         K = N // 2
@@ -13563,26 +13517,26 @@ 
    DFT Matrixplt.figure(figsize=figsize)
     ax = plt.subplot(1, 2, 1)
-    ax.set_title('$x$ with $N=%d$' % N)
+    ax.set_title('$x$ with $N=%d$' % N)
     if ax_sec is True:
-        ax.plot(t, x, 'k', marker='.', markersize='3', linewidth=0.5)
-        ax.set_xlabel('Time (seconds)')
+        ax.plot(t, x, 'k', marker='.', markersize='3', linewidth=0.5)
+        ax.set_xlabel('Time (seconds)')
     else:
-        ax.plot(x, 'k', marker='.', markersize='3', linewidth=0.5)
-        ax.set_xlabel('Time (samples)')
+        ax.plot(x, 'k', marker='.', markersize='3', linewidth=0.5)
+        ax.set_xlabel('Time (samples)')
     ax.grid()
 
     ax = plt.subplot(1, 2, 2)
-    ax.set_title('$|X|$')
+    ax.set_title('$|X|$')
     if ax_Hz is True:
         Fs = 1 / (t[1] - t[0])
         ax_freq = Fs * np.arange(K) / N
-        ax.plot(ax_freq, np.abs(X), 'k', marker='.', markersize='3', linewidth=0.5)
-        ax.set_xlabel('Frequency (Hz)')
+        ax.plot(ax_freq, np.abs(X), 'k', marker='.', markersize='3', linewidth=0.5)
+        ax.set_xlabel('Frequency (Hz)')
 
     else:
-        ax.plot(np.abs(X), 'k', marker='.', markersize='3', linewidth=0.5)
-        ax.set_xlabel('Frequency (index)')
+        ax.plot(np.abs(X), 'k', marker='.', markersize='3', linewidth=0.5)
+        ax.set_xlabel('Frequency (index)')
     ax.grid()
     plt.tight_layout()
     plt.show()
@@ -13592,91 +13546,61 @@ 
    DFT Matrixplot_signal_dft(t, x, X, ax_sec=True, ax_Hz=True)
 plot_signal_dft(t, x, X, ax_sec=True, ax_Hz=True, freq_half=True)
 
    
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    Fast Fourier Transform (FFT)

    Next, we discuss the famous fast Fourier transform (FFT), which is a fast algorithm to compute the DFT. The FFT algorithm was originally found by Gauss in about 1805 and then rediscovered by Cooley and Tukey in 1965. The FFT algorithm is based on the observation that applying a DFT of even size $N=2M$ can be expressed in terms of applying two DFTs of half the size $M$. It exploits the fact that there are algebraic relations between the entries $\sigma_N^{kn} = \mathrm{exp}(-2 \pi i / N)^{kn}$ of DFT matrices. In particular, one has

    -$$\sigma_M = \sigma_N^2$$

    In the FFT algorithm, one computes the DFT of the even-indexed and the uneven-indexed entries of $x$:

    -\begin{align} +

    +

    Fast Fourier Transform (FFT)

    Next, we discuss the famous fast Fourier transform (FFT), which is a fast algorithm to compute the DFT. The FFT algorithm was originally found by Gauss in about 1805 and then rediscovered by Cooley and Tukey in 1965. The FFT algorithm is based on the observation that applying a DFT of even size $N=2M$ can be expressed in terms of applying two DFTs of half the size $M$. It exploits the fact that there are algebraic relations between the entries $\sigma_N^{kn} = \mathrm{exp}(-2 \pi i / N)^{kn}$ of DFT matrices. In particular, one has

    +

    $$\sigma_M = \sigma_N^2$$

    +

    In the FFT algorithm, one computes the DFT of the even-indexed and the uneven-indexed entries of $x$:

    +

    \begin{align} (A(0), \dots, A(N/2-1)) &= \mathrm{DFT}_{N/2} \cdot (x(0), x(2), x(4), \dots, x(N-2))\\ (B(0), \dots, B(N/2-1)) &= \mathrm{DFT}_{N/2} \cdot (x(1), x(3), x(5), \dots, x(N-1)) -\end{align}

    With these two DFTs of size $N/2$, one can compute the full DFT of size $N$ via:

    -\begin{eqnarray} +\end{align}

    +

    With these two DFTs of size $N/2$, one can compute the full DFT of size $N$ via:

    +

    \begin{eqnarray} C(k) &=& \sigma_N^k \cdot B(k)\\ X(k) &=& A(k) + C(k)\\ X(N/2 + k) &=& A(k) - C(k)\\ -\end{eqnarray}

    for $k \in [0: N/2 - 1]$. The numbers $\sigma_N^k$ are also called twiddle factors. If $N$ is a power of two, this idea can be applied recursively until one reaches the computation of $\mathrm{DFT}_{1}$ (the case $N=1$), which is simply multiplication by one (i.e. just returning the signal of length $N=1$). For further details, we refer to Section 2.4.3 of [Müller, FMP, Springer 2015]) (see also Table 2.1).

    +\end{eqnarray}

    +

    for $k \in [0: N/2 - 1]$. The numbers $\sigma_N^k$ are also called twiddle factors. If $N$ is a power of two, this idea can be applied recursively until one reaches the computation of $\mathrm{DFT}_{1}$ (the case $N=1$), which is simply multiplication by one (i.e. just returning the signal of length $N=1$). For further details, we refer to Section 2.4.3 of [Müller, FMP, Springer 2015]) (see also Table 2.1).

    In the following code, we provide a function fft that implements the FFT algorithm. We test the function fft by comparing its output with the one when applying the dft on a test signal x. For the comparison of result matrices, we use the NumPy functions np.array_equal and np.allclose.

    -
    -
    In [6]:
    +
    In [6]:
    -
    -
    def fft(x):
-    """Compute the fast Fourier transform (FFT)
+
    
+
    def fft(x):
+    """Compute the fast Fourier transform (FFT)
 
     Notebook: PCP_09_dft.ipynb
 
@@ -13685,11 +13609,11 @@ 
    Fast Fourier Transform (FFT)    Returns:
         X: Fourier transform of x
-    """
+    """
     x = x.astype(np.complex128)
     N = len(x)
     log2N = np.log2(N)
-    assert log2N == int(log2N), 'N must be a power of two!'
+    assert log2N == int(log2N), 'N must be a power of two!'
     X = np.zeros(N, dtype=np.complex128)
 
     if N == 1:
@@ -13716,24 +13640,17 @@ 
    Fast Fourier Transform (FFT)is_equal_tol = np.allclose(X_via_dft, X_via_fft)
 is_equal_tol_np = np.allclose(X_via_dft, X_via_fft_numpy)
 
-print('Equality test for dft(x) and fft(x) using np.array_equal:    ', is_equal)
-print('Equality test for dft(x) and fft(x) using np.allclose:       ', is_equal_tol)
-print('Equality test for dft(x) and np.fft.fft(x) using np.allclose:', is_equal_tol_np)
+print('Equality test for dft(x) and fft(x) using np.array_equal:    ', is_equal)
+print('Equality test for dft(x) and fft(x) using np.allclose:       ', is_equal_tol)
+print('Equality test for dft(x) and np.fft.fft(x) using np.allclose:', is_equal_tol_np)
 
    
-
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    - +
    - -
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    - - +
    Equality test for dft(x) and fft(x) using np.array_equal:     False
 Equality test for dft(x) and fft(x) using np.allclose:        True
@@ -13741,10 +13658,8 @@ 
    Fast Fourier Transform (FFT)
    
 
    
@@ -13758,17 +13673,16 @@ 
    Fast Fourier Transform (FFT)
    
 
    
 
    
-
    The FFT reduces the overall number of operations from the order of $N^2$ (needed when computing the usual matrix–vector product $\mathrm{DFT}_N \cdot x$) to the order of $N\log_2N$. The savings are enormous. For example, using $N=2^{10}=1024$, the FFT requires roughly $N\log_2N=10240$ instead of $N^2=1048576$ operations in the naive approach. Using the module timeit, which provides a simple way to time small bits of Python code, the following code compares the running time when using the naive approach and the FFT. Furthermore, we compare the running time with the highly optimized NumPy implementation np.fft.fft.
    
-
+
    The FFT reduces the overall number of operations from the order of $N^2$ (needed when computing the usual matrix–vector product $\mathrm{DFT}_N \cdot x$) to the order of $N\log_2N$. The savings are enormous. For example, using $N=2^{10}=1024$, the FFT requires roughly $N\log_2N=10240$ instead of $N^2=1048576$ operations in the naive approach. Using the module timeit, which provides a simple way to time small bits of Python code, the following code compares the running time when using the naive approach and the FFT. Furthermore, we compare the running time with the highly optimized NumPy implementation np.fft.fft.
    
 
    
 
    
 
    
 
    
 
    
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    In [7]:
    
+
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-    
    
-
    import timeit
+
    
+
    import timeit
 
 rep = 3
 for N in [256, 512, 1024, 2048, 4096]:
@@ -13777,76 +13691,63 @@ 
    Fast Fourier Transform (FFT)t_DFT = 1000 * timeit.timeit(lambda: dft(x), number=rep)/rep
     t_FFT = timeit.timeit(lambda: fft(x), number=rep*5)/(rep*5)
     t_FFT_np = timeit.timeit(lambda: np.fft.fft(x), number=rep*100)/(rep*100)
-    print(f'Runtime (ms) for N = {N:4d} : DFT {t_DFT:10.2f},  FFT {t_FFT:.5f},  FFT_np {t_FFT_np:.8f}')
+    print(f'Runtime (ms) for N = {N:4d} : DFT {t_DFT:10.2f},  FFT {t_FFT:.5f},  FFT_np {t_FFT_np:.8f}')
 
    
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    Runtime (ms) for N =  256 : DFT       4.54,  FFT 0.00870,  FFT_np 0.00000631
-Runtime (ms) for N =  512 : DFT      13.79,  FFT 0.01813,  FFT_np 0.00000491
-Runtime (ms) for N = 1024 : DFT      48.53,  FFT 0.03507,  FFT_np 0.00000628
-Runtime (ms) for N = 2048 : DFT     178.32,  FFT 0.07120,  FFT_np 0.00001038
-Runtime (ms) for N = 4096 : DFT     775.13,  FFT 0.14137,  FFT_np 0.00001887
+
    Runtime (ms) for N =  256 : DFT      10.15,  FFT 0.00413,  FFT_np 0.00000382
+Runtime (ms) for N =  512 : DFT      12.25,  FFT 0.00883,  FFT_np 0.00000632
+Runtime (ms) for N = 1024 : DFT      51.06,  FFT 0.01798,  FFT_np 0.00001035
+Runtime (ms) for N = 2048 : DFT     200.38,  FFT 0.03582,  FFT_np 0.00001932
+Runtime (ms) for N = 4096 : DFT     768.05,  FFT 0.07103,  FFT_np 0.00003971
 
    
 
    
 
    
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    Exercises and Results
    
+
    Exercises and Results
    
 
    
 
    
 
    
 
    
 
    
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    import libpcp.dft
+
    
+
    import libpcp.dft
 show_result = True
 
    
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-Exercise 1: Interpretation of Frequency Indices
    
+Exercise 1: Interpretation of Frequency Indices
    
 Given a dimension $N\in\mathbb{N}$, the $\mathrm{DFT}_N$ transform a vector $x\in\mathbb{C}^N$ into another vector $X\in\mathbb{C}^N$. Assuming that $x$ represents a time-domain signal sampled with a sampling rate $F_\mathrm{s}$, one can associate the index $n\in[0:N-1]$ of the sample $x(n)$ with the physical time point $t = n/F_\mathrm{s}$ given in seconds. In case of the vector $X$, the index $k\in[0:N-1]$ of the coefficient $X(k)$ can be associated to a physical frequency value 
 
-$$
+
    $$
   \omega=\frac{k \cdot F_\mathrm{s}}{N}.
-$$
-
-Furthermore, using a real-valued signal $x\in\mathbb{R}^N$, the upper part of $X\in\mathbb{C}^N$ becomes redundant, and it suffices to consider the first $K$ coefficients with $K=N/2$.
-
+$$
    
+
    Furthermore, using a real-valued signal $x\in\mathbb{R}^N$, the upper part of $X\in\mathbb{C}^N$ becomes redundant, and it suffices to consider the first $K$ coefficients with $K=N/2$.
    
 
      
 
    • Find explanations why these properties apply.
      • 
-
    • Find out how the function plot_signal_dft uses these properties to convert and visualize the time and frequency axes.
      •    
+
    • Find out how the function plot_signal_dft uses these properties to convert and visualize the time and frequency axes.
      • 
 
    • Using the signal x, t = libpcp.signal.generate_example_signal(Fs=64, dur=2), plot the signal and its magnitude Fourier transform once using axes given in indices and once using axes given in physical units (seconds, Hertz). Discuss the results.
      • 
-
    • Do the same for the signal x, t = libpcp.signal.generate_example_signal(Fs=32, dur=2). What is going wrong and why?
      •   
+
    • Do the same for the signal x, t = libpcp.signal.generate_example_signal(Fs=32, dur=2). What is going wrong and why?
      • 
 
    
 
    
 
    
@@ -13854,479 +13755,311 @@ 
    Exercises and Results
 
    
 
    
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-Exercise 2: Missing Time Localization
    
+Exercise 2: Missing Time Localization
    
 The Fourier transform yields frequency information that is averaged over the entire time axis. However, the information on when these frequencies occur is hidden in the transform. To demonstrate this phenomenon, construct the following two different signals defined on a common time axis $[0, T]$ with $T$ given in seconds (e.g., $T=6~\mathrm{sec}$). 
 
 
      
 
    • A superposition of two sinusoids $f_1+f_2$ defined over the entire time interval $[0, T]$, where the first sinusoid $f_1$ has a frequency $\omega_1=1~\mathrm{Hz}$ and an amplitude of $1$, while the second sinusoid $f_2$ has a frequency $\omega_2=5~\mathrm{Hz}$ and an amplitude of $0.5$.
      • 
 
    • A concatenation of two sinusoids, where $f_1$ (specified as before) is now defined only on the subinterval $[0, T/2]$, and $f_2$ is defined on the subinterval $[T/2, T]$.
-
    
-
-Sample the interval $[0,T]$ to obtain $N$ samples (use np.linspace), with $N\in\mathbb{N}$ being power of two (e.g., $N=256$). Define DT-signals of the superposition and the concatenation and compute the DFT for each of the signals. Plot the signals as well as the resulting magnitude Fourier transforms and discuss the result.
+
+
    Sample the interval $[0,T]$ to obtain $N$ samples (use np.linspace), with $N\in\mathbb{N}$ being power of two (e.g., $N=256$). Define DT-signals of the superposition and the concatenation and compute the DFT for each of the signals. Plot the signals as well as the resulting magnitude Fourier transforms and discuss the result.
    
 
    
 
    
 
    
 
    
 
    
 
    
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-Exercise 3: Chirp Signal
    
+Exercise 3: Chirp Signal
    
 The function $f(t)=\sin\left(\pi t^2\right)$ defines a chirp signal (also called sweep signal), in which the frequency increases with time. The instantaneous frequency $\omega_t$ of the chirp signal at time $t$ is the derivate of the sinusoid's argument divided by $2\pi$, thus $\omega_t = t$. 
 
      
-
    • Let $[t_0,t_1]$ be a time interval (given in seconds) with $0\leq t_0generate_chirp that outputs a sampled chirp signal x over the interval $[t_0,t_1]$ with $N$ samples (use np.linspace).
      • 
+
    • Let $[t_0,t_1]$ be a time interval (given in seconds) with $0\leq t_0generate_chirp that outputs a sampled chirp signal x over the interval $[t_0,t_1]$ with $N$ samples (use np.linspace).
      • 
 
    • Compute the DFT of x for various input parameters $t_0$, $t_1$, and $N$. Plot the chirp signal as well as the resulting magnitude Fourier transform. Discuss the result.
      • 
-
        
+
 
    
 
    
 
    
 
    
 
    
 
    
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-Exercise 4: Inverse DFT
    
+Exercise 4: Inverse DFT
    
 The discrete Fourier transform given by the matrix $\mathrm{DFT}_N \in \mathbb{C}^{N\times N}$ is an invertible operation, given by the inverse DFT matrix $\mathrm{DFT}_N^{-1}$. 
 
      
 
    • There is an explicit relation between $\mathrm{DFT}_N$ and its inverse $\mathrm{DFT}_N^{-1}$. Which one? 
      • 
 
    • Write a function generate_matrix_dft_inv that explicitly generates $\mathrm{DFT}_N^{-1}$. 
 
    • Check your function by computing $\mathrm{DFT}_N \cdot \mathrm{DFT}_N^{-1}$ and $\mathrm{DFT}_N^{-1} \cdot \mathrm{DFT}_N$ (using np.matmul) and comparing these products with the identity matrix (using np.eye and np.allclose).
      • 
 
    • Furthermore, compute the inverse DFT by using np.linalg.inv. Compare the result with your function using np.allclose.
-
    • Similar to fft, implement a fast inverse Fourier transform fft_inv
      •     
-
        
+
  • Similar to fft, implement a fast inverse Fourier transform fft_inv
    • 
+
 
    
 
    
 
    
 
    
 
    
 
    
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+
    
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    Comparison between DFT * DFT_inv and I: True
 Comparison between DFT_inv * DFT and I: True
 Comparison between DFT_inv and DFT_inv_via_np: True
 Example signal x: [ 0.  1.  2.  3.  4.  5.  6.  7.  8.  9. 10. 11. 12. 13. 14. 15.]
 Signal y = fft_inv(fft(x)):
-[4.4408921e-16+0.00000000e+00j 1.0000000e+00+4.49810399e-16j
- 2.0000000e+00-9.95799250e-17j 3.0000000e+00-5.72118873e-18j
- 4.0000000e+00-1.99159850e-16j 5.0000000e+00+5.72118873e-18j
- 6.0000000e+00+9.95799250e-17j 7.0000000e+00-5.72118873e-18j
- 8.0000000e+00+0.00000000e+00j 9.0000000e+00+5.72118873e-18j
- 1.0000000e+01-9.95799250e-17j 1.1000000e+01+4.38368021e-16j
- 1.2000000e+01+1.99159850e-16j 1.3000000e+01-4.38368021e-16j
- 1.4000000e+01+9.95799250e-17j 1.5000000e+01-4.49810399e-16j]
+[4.4408921e-16+0.00000000e+00j 1.0000000e+00+1.54737010e-16j
+ 2.0000000e+00+3.03923139e-16j 3.0000000e+00-1.67554121e-16j
+ 4.0000000e+00-1.99159850e-16j 5.0000000e+00-2.30590537e-16j
+ 6.0000000e+00+4.54184562e-16j 7.0000000e+00+1.25561087e-16j
+ 8.0000000e+00+0.00000000e+00j 9.0000000e+00+2.60208432e-16j
+ 1.0000000e+01-5.03082989e-16j 1.1000000e+01+5.10716381e-16j
+ 1.2000000e+01+1.99159850e-16j 1.3000000e+01-1.61470150e-16j
+ 1.4000000e+01-2.55024712e-16j 1.5000000e+01-4.91608101e-16j]
 Comparison between x and y: True
 
    
 
    
 
    
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-PCP License
+PCP License
+
    
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+

    - - - - diff --git a/PCP_09_dft.ipynb b/PCP_09_dft.ipynb index 9900b73..f3e6628 100644 --- a/PCP_09_dft.ipynb +++ b/PCP_09_dft.ipynb @@ -92,29 +92,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:30.910507Z", - "iopub.status.busy": "2021-09-23T10:12:30.909714Z", - "iopub.status.idle": "2021-09-23T10:12:32.532282Z", - "shell.execute_reply": "2021-09-23T10:12:32.533188Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "from matplotlib import pyplot as plt\n", @@ -213,29 +193,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:32.552781Z", - "iopub.status.busy": "2021-09-23T10:12:32.551773Z", - "iopub.status.idle": "2021-09-23T10:12:34.313733Z", - "shell.execute_reply": "2021-09-23T10:12:34.314408Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def plot_signal_e_k(ax, x, k, show_e=True, show_opt=False):\n", " \"\"\"Plot signal and k-th DFT sinusoid\n", @@ -323,29 +283,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:34.326813Z", - "iopub.status.busy": "2021-09-23T10:12:34.323893Z", - "iopub.status.idle": "2021-09-23T10:12:35.942429Z", - "shell.execute_reply": "2021-09-23T10:12:35.943256Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def generate_matrix_dft(N, K):\n", " \"\"\"Generate a DFT (discete Fourier transfrom) matrix\n", @@ -464,53 +384,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:36.695361Z", - "iopub.status.busy": "2021-09-23T10:12:36.694243Z", - "iopub.status.idle": "2021-09-23T10:12:37.650600Z", - "shell.execute_reply": "2021-09-23T10:12:37.651302Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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uQ3lCID09ndKlSwOeuUptNT1jTKCkpqZmtYtCcTGwNZDD0LRp0+jbt2/Qy3nooYeIi4vj+uuvz/e558+fZ8iQITRt2jRrhopx48ZRsmRJ4uPjizQU5P7772fp0qXW2xQCK1asoFOnTgX6nfvK/B1PmDCB6Ohofvvb3/L666/TunVrGjRowCeffFLgY/Xt25ejR4/mOAVgMGzfvp2vvvrKljgPAd9ToKG60twYc3WwIRZXuaNHj1KqVKkCXegWCI8//jhz5szJc87YU6dO8cwzz9CrVy/uvPPOy+ao9XfO2kwiwoABA5g8ebJf+5uC69+/P0eOHCl04zSn33FsbCxr165l/vz5HDlyhIkTJ+Y7TnnFihV07do1KGPrczN69Gjq1auX5wWJJjB8T4FmrnZljDGB4Fu/iEjQFyOyBnKYCVXvcaZixYrRp08f3njjjRwfz1yC+O6776Zu3bpByxEZGck111zD7t27g1bG1e7s2bM0atQoKI3TRx99lDvuuIMHH3yQP//5zzkOZ0hJSWHZsmWMHj06aGPrcxIbG8vu3bvZvXu3re4WZCkpKVk9PDbEwhgTSKdPn85agff666/n5MmTQS3PGshh5Pvvv6d06dLccMMNIS23SZMmnDp1im+//TZr2y+//MLo0aMZMWIEJ06cYPz48UHP8dRTT/Hiiy8SExNj40WDYNq0aUFtnLZo0YLDhw+za9euy8YlqyqjRo1iyJAhjiwkUaxYMbp162aLhwSZbwPZhlgYYwIt8/MjFPWLNZDDyF//+lcWLFjgSONw4MCBWafIP/zwQ4YOHUr37t2ZMWMGjRs3Dsnp8JIlS7Jnzx7Wrl1r40UD7Pjx4/z4449ERUUFtZwxY8bQqFEjoqKiWLlyZdb2mTNn8uCDD3LdddcFtfy8REdHs3v3bldP+yYiNUXkMxHZKSLbRWSAd/uNIvKJiOzxfg3tf9levmMEb7zxRmsgG2OCIhTLTVsDOUzs37+fL774gvXr1zvSOCxTpgzVqlWjSpUq7N69m5dffpmaNWsSGxvLlClTQnY6fOLEiVSvXp3nnnsuJOVdLSZNmsSAAQOCXk5sbCxTp05l/vz57N69m7feeoudO3eSmppK27Ztg15+fgYOHBiURXJCKAP4i6o2BFoDT4lII+AFIFFV6wOJ3vshl5qamnX9RMmSJfO8tsEYY/xlDeSryLRp05g6dWpIL17KbuHChfzwww8sXrzYkfLB08DasmULGzdudCzDlWbLli1ERkYWeuaKohAR+vbty4kTJ7jrrrto1qxZyMrOS5UqVbjxxhvZsWOH01H8oqpHVHWT9/tTwE6gOtARmON92hzgf53Id+HChXwXnzHGmKIKRQPZarIwsHHjRho2bMi9997Lvffe61iO+Ph44uLiHGugZ4qIiKBOnTqsX7+e6OhoR7O4naoya9Ys/v73vztS/sKFCzl27BjDhw/nN7/5jSMZsuvbty8PP/wwR44cIT4+PmRnRwJNRCKB5sA6oIqqHgFPI1pEKueyTx+gD3j+WfAdBlNQp0+fznW/AwcOXPLYwYMH/SojWPLKHs7cmhssuxPcmhvyzu5bn6SlpbFu3bqgLjRmDWSHqSrz5s3j5ZdfdjoKsbGxYdNY6NGjBwMHDizQcsgmd8OHD2fFihV8/vnnjvxuw+WfLl8lS5Zk8+bN7N+/n7i4uLB5zxeGiJQDPgAGqurPBb3wUVWnA9MBWrZsqe3atSt02StXriS3/T777LNLHsvruU4ItzwF5dbcYNmd4NbckHt2Vb3kMVVl3bp1Qf05bYiFw5YvX0779u0LtarZ1aBYsWL07t2b6dOnOx3Ftc6dO8f06dPZsWOHYxc9FnWO7GAZN24ckZGRYdVwLygRKYmncTxfVRd4Nx8Tkarex6sCxx3K5kSxxpgr3M8//0yFChWy7ttKele4ixcvsnTpUkeHVYSzpk2bkpqayvfff+90FFd68803GTlypKPj2sPVgw8+yMMPPxx2Dff8iOdT4S1gp6q+4vPQIqCH9/sewEehzmaMMcHiu0hIqFgD2UFvv/02jzzyiPW65KF58+ZER0fbvMiFdPLkSY4ePUqvXr3Csgc3HFSrVs2N/3y1BboDvxaRLd7bvcBY4G4R2QPc7b3vuBIlSnD+/HmnYxhjXC7Uy0yDNZAds3TpUv76179y6tQpp6OEtTFjxvDdd98xePBgp6O4yj/+8Q/69evndIyw1rFjRxYuXOh0jEJR1S9UVVT1FlVt5r39W1VTVTVWVet7v54IdbYzZ85QunTpS7bZanrGmEBwbQ+yiNwjIrtFZK+IODL/ptv079+f77//3hbEyEd8fDxNmza1YSiFcPDgQcqUKUOVKlWcjhLWatasSXJystMxrhg59fBYA9kYEwipqanuayCLSHFgKvA7oBHwsHfiepOH6OhoGxtaAJnzIp89e9bpKK7x2muv8eSTTzodwxVCMZfm1SKnBrItN22MCYSc6pdixYpx4cKFoJUZiB7kaGCvqu5X1XPAO3gmrTe5SE1NpXnz5jY2tICKFSuGiAT1D+FKsWHDBho3bsy1117rdBRX6NChAx99ZNezBUJKSkqOPcj2D4gxpqhOnjzJddddd8m2G264gZMnTwatzEBMMFsdOOxzPxlolf1JgZigHtw7AbZv7qVLl9KkSRPX/Bzh8JqXLVuW1157jaZNmxZ4n3DI7S9/sm/cuJHRo0fzwgsvOPpzu+11//TTT6lbt67rcoeblJSUy1ZMrFixIuvXr/f7mImJiVnzaFtngjHuVdS/ZVWlWLFL+3QzzwAGa+hFIBrIOU3BoJdtCMAE9eDeCbB9cy9fvpzu3bs7G6gQwuE1b9WqFRMmTChUjnDI7S9/svfv358TJ06wcOFCnnvuueAEKwC3ve7r1q2jefPmbN682VW5w01OH1RFHYP84osvsmHDBtcu6GKM8ejVqxeHDh0K6N9y5hmqqKiogBwvu0AMsUgGavrcrwG4bu6kUMnpNIHJX5kyZUhPT3c6Rlhr3rw5rVu3tnHthXTffffx8ccfOx3D9U6cOMENN9xwybai/t127dqViIgIe08b43KqSqtWrQL6txzsaxwC0UDeANQXkdoiUgrogmfSepODxYsX06FDB6djuFJUVBS7d+92OkZYUlWqVavG2rVrraetkBo1asT27dudjuF6Fy9eDPiy8OXLl+fee++197QxLnb27FkqVarE66+/HtC/5WBfZF3kBrKqZgD9gGXATuA9VbVPm1zs3LmThg0bOh3DlX7/+99bT18udu3aRaNGNnmMP0SEa6+9lrS0NKejmGwOHTpEZGQkGRkZTkcxxvgpKSmJjh07smvXroAeN+wbyADeiepvVtW6qjoqEMe8Ev3888+UK1fO6RiuZVNG5W7JkiX8/ve/dzqGa1WsWJE+ffrYio1hRlWpV68e+/fvdzqKMcZP27dvp0OHDuzdu9ev/VUvu6wNgGuvvZYzZ84UJVqebCW9EFqyZAn33Xef0zFcrVKlShw/ftzpGGHnxIkTIZ9E/Uoyd+5ckpOTbeGeIsjtQyy37QXVuHFjGwJjjIvt2bOHRo0a+b3s/JkzZxyZutQayCG0devWQk1TZi5nF1Rd7ujRo7ZqXhGNGDGC6tWru2p2mSvd2bNnKVWqFA0aNAj4qVljTOicP3+eUqVK+b1/TnOsh4I1kEMkLS2NsmXLIpLTrHimoOrXr+/3aZor1eLFi/nDH/7gdAxXi42NZfbs2ezbt8/pKK6VW91WvHhxvxb52bdvH3Xr1rXx4cZcIYoVK8bFixcLvZ8Ty0xDYOZBdp2PPvqIfv36cdddd1GnTh1UlX379rFz507Gjx8flCum169fb42YAMkcd2SrxXkcOHCAOnXqOB3D9UqUKEHDhg3ZunUrt9xyi9NxXCWvv8fM1a4K+wG3e/duGjRoEIh4xhiHpKenc8011wBQq1atrAtvCyOnZaZD4arrQc7IyOCJJ54gOTmZffv2MWzYMIYPH86+ffvYtGkTL730UlDKTUpKonnz5kE59tXmuuuu47bbbrMLqvCsWmf/KAROt27dmDdvntMxXCevU6D+Lje9e/dubr75ZsDTC20zWRjjPklJSVkLeURFRfk1XCqYq+Xl5aprIMfHxzN27FhiYmIumbB65MiRNGrUiLvvvjvgZX744YesWLGCTz/9NODHvhr985//ZPfu3XZBFfDJJ5/wm9/8xukYV4xSpUpx880320VhhZTXB5i/q+mlpaVl/fNXr149G1pljAtt376dxo0bA/43kPMaYlGsWDG/hnAVxFXVQJ4+fTq//vWv6dGjB6tXr75kKEVsbCzbt28nLS2NU6dOBbTc/v37c/z4cWvQBciIESOoXbs2Tz75ZEjKS0xMpG3btnn2WCcmJtK6deuQ92p/9dVXtGzZMqRlXum6d+9OQkKC0zFcJa8e5EBMz2gzWRjjTnv27KFevXqA55/lEydOFPoYJ06c4MYbb8zxsRtvvJEff/yxSBlzc9U0kJctW0apUqVo165dns975plnePXVVwNW7tq1a+natSuNGze25VIDJDY2ls2bN4dsbtS+ffuyZs0aevfuzbFjxy557MyZMyQkJPDoo4+ybt06evfu7ddFCP7IyMhARChW7Kr5Mw6Ja665htq1a9vMCYWQ1xhBf4ZYZJ8azlbRNMadMjIyKFmyZJGOceHChVxX6QzmYiFXxSfrzJkz6d27NzVr1sz3uVWrVqVSpUps3bq1yOVmZGTwz3/+k7FjxzJlyhRbLjWArrvuOs6dOxfUq9svXrzIqFGj+NOf/kRMTAwjR47k7bff5sUXX2TAgAHUrFmTJ554gubNm5OQkEBMTAzPP/88AwYM4NChQ0HLlWnNmjW0bds26OVcjXr27Mns2bOdjuEa+Y1BLmwP8tGjR/nVr36Vdb9MmTKkp6cXKaMx5soTzAbyFTuLhaqyYcMGFi1axNy5czl8+DBxcXEFaqT27t2bQYMGMXHixCL1zr3xxhv07dvXpnYLki5duvDOO+/w2GOPBfzY6enpDBkyhG7dutGsWTNeeOGFSx5v2bJl1oWemXNbZ7630tLSGD9+POnp6Xz++eeMGDEi4P8cJSYm0rNnT6ZPnx7Q4xqP0qVLk56eTs2aNYmNjaVWrVqICAcOHGDTpk28+uqrtG/f3umYYePHH3/k+uuvz/GxcuXKcfr06UIdb9euXTaDhTEu5zuDRabrr7+ekydP5lpfFFZERAQHDx4MyLGyu+J6kD/++GPq1KlDly5d+Pbbb4mLi2PmzJmXXZSXlxIlStC1a1deeOGFfMee5iY5OZmTJ09mDU43gde4cWN27NhR5JW6fCUmJhIdHU3nzp0ZMGAAzZo1y/F548aNy/U9VaZMGYYOHcqiRYtYu3ZtUMaeDxkyhOTkZEaOHBnwYxuP9evXk5ycTFJSEsOHD2fYsGEkJSWxbds2evTowSuvvHLZkJur1YULFyhevHiOj/nTQZDTFG8lSpTweyUuY0zo5fSPboMGDQI6XMrfWXIK4opqIKsqffr04cCBAyQnJ9OpUydKlSpFbGzsZRfl5adVq1Z88MEHrFmzhqeffjrHqySPHz/O0KFDady4MUuXLr3ksUmTJvHMM88U+WcyeWvTpg3r1q0L2PFeeuklNmzYwNGjR/McklOQ99TkyZOpXr06f/vb3wKWL1Pbtm259dZbbVx7EI0YMYKYmBhGjBiRtW3kyJHExMSQkJBAly5diIuLo2HDhjblYIAdOXLkkiEWYDNZGOM2O3bsuKyT0N+ZLHLj7yw5BXFFDbGYNWsWzz//PO+//35AGg7Tp09nyJAh3H///cTFxXH48GHWrl1Lq1atiIyMpFKlSixcuJAdO3bQp08funfvnlWJL168mHvuucfGHQdZhw4deOmll2jdunVAjnfnnXdy+vRpRo8eXeRjxcbGsnLlSpYtWxaAZP917tw5ihUrxpYtWwJ6XHOp2NjYy/5+s2/btm0bu3btKvDwLVNw2XueM2eyaNiwoUOJjDGFsXfvXh566KFLtkVGRjJ37tyAlRHMlTavmAbyzp07SUlJ4fnnn2fgwIEBOWb2D8PWrVuzd+9eKlWqlLWYQJMmTYiLiyM+Pp7Y2Fj27t3LuLf8Ue4AABlxSURBVHHjSEpKsg/NEChRogQVK1bk2LFjVKlSpUjHOnfuHBkZGQG5QDNTvXr1mDFjBmfPnr1sLJa/MmfNMM6Lj4/P+vu/moXiOouoqCg+/vjjoJdjjAmMnGafKF68eKFmejp79iylSpUKdLQCuSKGWKSnpzN16lQGDRoU1HJGjRp12SnX7Kfa69Wrx2uvvVaoMc+maB599NGAzFs7e/ZsevbsWfRA2QQqH3ga8UlJSTRp0iQgxzNF48/wratRYa4TOHPmDGXKlLlse+aFk8YYdwjE9UF5LRISbFdEA3ns2LE899xzuc6TFygF/TC0D83Qqly5Mps2beL222/3eyxoWloa+/btC0rDs1GjRuzZsycgFxgFqxFvjL9UNd8PQhEp8IdlUlJS1hLTxhh3SktLo3Tp0jk+VpgLbvOaQjLYitRAFpFOIrJdRC6KiCPLeS1ZsoQmTZpQq1YtJ4o3YWLfvn189dVXPProo3zwwQecPXu2UPu/9dZb9O7dO0jp4JFHHuHtt98u0jHOnj3L3r17adSoUYBSGVN0v/zyC+XKlcvzORUqVODnn38u0PFymsEiU8mSJW0mC2NcIK+pGuvWrcuBAwcKdBw39yBvAx4AVgUgS6EtXryYPn36cMMNNzhRvAkjY8aMISYmhjlz5lCzZk0ef/xxOnfuzKJFi/Ld9/Tp0xw5ciRrOcxgaNasGd98802R1oyfNWtWUOZ8NqYoCtLDU5grzffu3UvdunVzfKx+/frs2bOn0BmNMaG1ffv2XKe5bdCgQYFnsnBtA1lVd6qqY+t/Pv3003z//fdBmWfWuEvmsJb27dsTHR3NgQMHOH78OE888QQrVqzIc99p06bRt2/foGd86KGHePfdd/3aNz09nQMHDtgV/Cbs5LXMdKbCrHZ17ty5XC9ozZzJwhgT3vbt25frP7qFWTq+IP+AFy9enIyMjEJnzE/IZrEQkT5AH4AqVaqwcuVKv45z+vRpVq5cyblz56hTpw5ly5blgQce8Pt4oZKZ243cmP2BBx7gxIkT/OlPf2LVqlXMmTOHLl26ULZs2Uue98UXXzB58mQAWrRoEfRcb7zxBiNGjOBPf/pTruWtWrWKN998kzvuuIOIiAh++eUXvvnmG3788UcqV64ckpxF4cb3C7g3t9MC3YOcl6ioqAKdFTLGOOvixYu5XhdWrlw5Tp06VaDjFKQHuWLFipw4cYLKlSsXOmde8m0gi8gK4Fc5PDRYVT8qaEGqOh2YDtCyZUtt165dQXe9xMqVK2nXrh0zZ85k0qRJrrmaPzO3G7kxe7t27WjRokVW7mPHjtGvXz/WrVtHu3btqFOnDqrKjBkz+OGHH1iwYAF/+ctfgp4rLS2NXbt2MXHiRFatWkXt2rWzHtu+fTtvv/028+bNIzk5mV27drF8+XIqVKjAXXfdxd69e0OWsyjc+H4B9+Z2UlpaGtOmTePQoUOMGzcu1wuTIyIiCrTIR37TP11zzTWcO3fOr6xutWLFCh577DFmz55tF3670H/+8x8GDBjAa6+9Zr8/P+R1RinTqVOnuPfee/Osg/yR7xALVW2vqk1yuBW4cRxoFy5cYOfOna5pHBvnValShe+++47Dhw+zb98+hg0bxvDhw0lISAjplHxjx44lJiaG1157jSVLltC5c2fq169Pp06dWLduHUOGDGHmzJk0btyYCRMmEBERQalSpYiPj7epA01Y+eSTTxg8eDCHDh1i48aNeQ5127ZtG4MHD853lpnDhw9z0003BTqqq/Xt25fk5GSefPJJp6MYP/Tt25ekpKSArc/gBrlN1ZhdfjPbqCo7duygbdu2edYdixYtyrcO8ocrp3lbuHAh999/v9MxjMtkLh3s28gM9ZR8meX94Q9/oF+/fhw6dIi9e/fy3Xff0atXL8qUKUNsbCxTpky5JJNNHWjCQWJiIk888QSdO3fm559/5u9//zvjxo3L95+3CRMmcOjQIXr27JnnqdW8ZrDIdOjQIdq0aXNVLO+9fft22rdvT+PGjYmOjiY5OdnpSKYQVq1aRZcuXWjTpg1RUVGcPHnS6UghkZCQwOzZs/P8G61cuXKe1yUkJyczaNAgduzYwZo1a/Js/AatAylzDkt/bsD9QDJwFjgGLCvIfi1atFB/ffrpp/rMM8/4vb9TPvvsM6cj+M2t2d2Qe8WKFRoTE6MrVqy4ZLsbsufGrdmdyA18pUWog4ty86cebt26tQIaHR1dqP0y3+fvvfeePvvss7pkyZIcnzdp0iRNSUnJ81jNmjVTQOvVq6fp6emFyuGm92Z6ero+9dRTev78ef3ss8/0zJkz2q9fP71w4YLT0QrFTa95dkXJ/uOPP+qgQYP04sWLqqqakpKizz77bNb9YHLqNT9x4oS++uqrWq1aNQU0JiYm1+d+8sknumrVqsu2JyYm6rRp0zQ+Pl5Pnz6d62dkIOVWDxd1FosPVbWGql6jqlVU9bdFaq0XwKZNm2jfvn2wizEmJKxn2LjJyJEjady4MaNHjy7Ufpnv806dOjFhwgTOnz/PQw89RMOGDZkyZQoHDx7kzJkzbNiwgQ4dOuTZ8/Tyyy8TExPD888/z/Dhwxk7dizvv/9+vqdh3WbcuHE8++yzWRc6lSlThscff5ypU6c6nMwUxOjRo/nb3/6WtQx7xYoVueeee4o8H364SUxM5LbbbqNbt25MnTqVP/7xjwUaupiSkkLPnj1ZtGgRe/bsYfXq1QwdOpROnTpx4cIFXnrpJcqWLevoZ2TIZrEIlC+//DLoS0obY4zbiMg9wCSgODBDVccGuozM4T9FvZixY8eOjBkzhl27djF16lTKlSvHsWPHWLNmDfv37ycuLi7XD8TY2NhLHvvhhx+Ijo7m4MGD9OzZk8cee4zjx4+zcuVKnnjiCe655x4iIiLYvHkzzzzzDJMmTQr7f0iXL19O/fr1iYyMvGR7s2bNWLVqFV9//TW33nqrM+FMvt555x3uvvvuy2ZfiI2NZcSIEezfv586deo4lK7gEhMTGTJkCIMGDaJhw4akpKSQmJhIQkICd955J7Vr12bWrFkkJydTqlQp5s2bB0DNmjXz/RubPHky+/fv5+mnn2bkyJFUrlyZjz76iBMnTjBv3jz+/Oc/h+JHzFtO3crBvvk7xGLKlClavXr1oHa1B8vVeprJSW7NrWrZneDmIRZ4GsX7gDpAKeBroFFe+/hbDwfqdcrp1Km/p1Oz7xcdHa2ANmrUSN9++22dPHmy1qhRQwGtUaOGxsXFaVxcnHbr1k1r1Kih3bp107i4OO3evXvW/REjRuj48eP1qaee0jp16uizzz6rc+fO1SFDhmhUVJSOHDlS//Of/+iKFSv0lVde0SZNmuiUKVN048aNumXLFp0xY4Y2a9ZM58yZo/v379f58+drixYt9L333tPjx49ramqqLly4UKOjo3Xx4sWalpamZ8+e1ffff1+rVat2yWvg+5pfuHBBO3bsqK1atcrztSvo6xvs/Ro3buyKnPllL+h+8+fP1xo1auT6Hk5PT9cOHTpo69at9d///reeOXNGT58+rYsWLdLo6GhdsGCBHjt2TN99911t0aKFzp8/X/ft26dJSUk6c+ZMvfXWW3XatGn61Vdf6bp163TSpEnauHFjHTdunC5dulRHjBihNWvW1MGDB2tCQoLOmDFDBwwYoJGRkdq7d2+Nj4/XoUOHZr33u3fvftn9zL+PzL+Z2rVr63vvvaefffZZ1hCnzOETgfqbzek1D5Xc6mFXNZDr16+f77iWcOXWRoOqe7O7NbeqZXeCyxvIbfC5BgR4EXgxr32cbiAHU0E/fGNiYi75TMm836ZNGz137pyeOnVKb7/9dgX0tttu06SkpKwGQtOmTXXNmjX6+eefa6NGjRTQBg0a6EcffaQffPCB3nzzzQpo/fr1ddasWVq3bt2sxsY//vEPnTRpkkZGRiqgtWrV0jFjxujIkSP1pptuuuxzLvtr3qJFi6zG/tChQ3Xo0KGX/AOQ0/2CbrP9irZfzZo1822nNG/eXAG96aabdMyYMTp+/HitVauWAhoZGalTpkzROnXqKKB169bV2bNn69y5c7PaQFFRUfrRRx/pkiVLtGHDhgpokyZNdO3atdq0aVMFtFmzZrpnzx799ttvtWXLlgpoq1at9Pz583m+931zB/Kf2IIKp3rYVUMsXn/9dQYMGGBTXRljzKWqA4d97icDrbI/KRALNrlhQZXixYszatQogKysxYsXZ+zYsRQvXjxr2wMPPMBPP/2UtdhU5v0//vGPrF69GoDOnTtz5swZHnnkEb777ju6devG+fPn6dGjB2fPngWgV69eWUvBV6hQAYA+ffpkbYuMjOTPf/5z1v3MKUr79euXtS1zAaDSpUsza9asSxbAyv6aP/zww6Snp1+yX/ny5S85Vvb7OT0nFPvNmDHjkoWRwjVnftkLW15eC5h17dqVc+fOXbJf//79s47VuHFjnnzyyaz7tWrVAjxTxmV/nz3++OPMmjWLnj17kp6eTo8ePZgxYwbdunXLmvWkS5cupKWl0alTJ7744os83/u+uXP7O8q+LZDCqn7JqdUc7FtRZrFwQ+9FTtyaW9W92d2aW9WyOyGcei4KewM64Rl3nHm/O/CPvPa5knuQc+PW7G7NrWrZneDW3KrhVQ+7ch5kY4wxl0gGavrcrwF871AWY4xxPfE0nkNcqMgPwLd+7h4B5D67dPhya25wb3a35gbL7gQnctdS1UpFPYiIlACSgFjgO2AD8Iiqbs9jH3/rYbf+fsG92d2aGyy7E9yaG8KoHnZkDHJRPhBE5CtVbRnIPKHg1tzg3uxuzQ2W3QluzQ2gqhki0g9YhmdGi5l5NY69+/hVD7v5dXJrdrfmBsvuBLfmhvDK7qqL9IwxxuRMVf8N/NvpHMYYcyWwMcjGGGOMMcb4cGMDebrTAfzk1tzg3uxuzQ2W3QluzR1qbn6d3JrdrbnBsjvBrbkhjLI7cpGeMcYYY4wx4cqNPcjGGGOMMcYEjTWQjTHGGGOM8eGaBrKI3CMiu0Vkr4i84HSevIjITBE5LiLbfLbdKCKfiMge79cbnMyYExGpKSKfichOEdkuIgO8292QvbSIrBeRr73Zh3u3h312ABEpLiKbReRj73235D4oIt+IyBYR+cq7zS3ZrxeRf4nILu97vo1bsjvF6uHgc2s97PY6GKweDrVwr4Nd0UAWkeLAVOB3QCPgYRFp5GyqPM0G7sm27QUgUVXrA4ne++EmA/iLqjYEWgNPeV9nN2Q/C/xaVW8FmgH3iEhr3JEdYACw0+e+W3ID3KWqzXzmrnRL9knAf1S1AXArntffLdlDzurhkHFrPez2OhisHg618K6Dc1p/OtxuQBtgmc/9F4EXnc6VT+ZIYJvP/d1AVe/3VYHdTmcswM/wEXC327ID1wKbgFZuyI5nWeBE4NfAx256vwAHgYhs28I+O1ABOID3QmU3ZXfwNbN62JmfwXX1sNvqYG82q4dDmzns62BX9CAD1YHDPveTvdvcpIqqHgHwfq3scJ48iUgk0BxYh0uye0+PbQGOA5+oqluyTwSeBy76bHNDbgAFlovIRhHp493mhux1gB+AWd5TqjNEpCzuyO4Uq4dDzG31sIvrYLB6ONTCvg52SwNZcthm89MFiYiUAz4ABqrqz07nKShVvaCqzfD0BESLSBOnM+VHRO4DjqvqRqez+Kmtqt6G57T7UyJyp9OBCqgEcBvwuqo2B34hPE9BhhOrh0PIjfWwG+tgsHrYIWFfB7ulgZwM1PS5XwP43qEs/jomIlUBvF+PO5wnRyJSEk+lPF9VF3g3uyJ7JlU9CazEM/4w3LO3BTqIyEHgHeDXIjKP8M8NgKp+7/16HPgQiMYd2ZOBZG8PF8C/8FTWbsjuFKuHQ8Tt9bDL6mCwetgJYV8Hu6WBvAGoLyK1RaQU0AVY5HCmwloE9PB+3wPPuLKwIiICvAXsVNVXfB5yQ/ZKInK99/syQHtgF2GeXVVfVNUaqhqJ5339qap2I8xzA4hIWREpn/k98BtgGy7IrqpHgcMiEuXdFAvswAXZHWT1cAi4tR52ax0MVg87wRV1sNMDtQt6A+4FkoB9wGCn8+ST9Z/AEeA8nv+SHgcq4rkAYI/3641O58wh9//gOWW6Fdjivd3rkuy3AJu92bcBcd7tYZ/d52dox38vDgn73HjGkH3tvW3P/Lt0Q3ZvzmbAV973zELgBrdkd/A1s3o4+LldWQ9fCXWwN6/Vw6HLHtZ1sC01bYwxxhhjjA+3DLEwxhhjjDEmJKyBbIwxxhhjjA9rIBtjjDHGGOPDGsjGGGOMMcb4sAayMcYYY4wxPqyBbIJKRCqKyBbv7aiIfOdzf02QymwuIjOCcex8yo0UkW1+7rtCRG4IdCZjzNVDRC741K9bvEtVXzF863YR6SAihVp5TURmi8iDfpb9jojU92df404lnA5grmyqmopnrkNEZBhwWlVfDnKxfwNGBrmMQJsLPAmMcjqIMca10tSz1HOORKSEqmaEMlCAZdXtqrqI0C5U8zrwPNA7hGUaB1kPsnGMiJz2fm0nIp+LyHsikiQiY0Wkq4isF5FvRKSu93mVROQDEdngvbXN4ZjlgVtU9Wvv/f/n05uyWUTKi0g5EUkUkU3e43f0PjdSRHaJyAwR2SYi80WkvYisFpE9IhLtfd4wEZkrIp96t19WYYpIcRGZ4M25VUT6erdXFZFV3jzbROQO7y6LgIeD8DIbY65iItJTRN4XkcXAcu+253zqpuE+zx0sIru9Z7T+KSLPerevFJGW3u8jvEsy51XPtfPu8y9vnTrfu0IgInK7iKwRka+9dXx5Efk/EWnmk2O1iNyS7efIXrf3FJEp3u9ni8hk73H3Z/YSi8cUEdkhIkuAyj7Ha+H93NkoIsu8dXMJ78/SzvucMSKS2Wnxf0B7EbGOxauE/aJNuLgVaAicAPYDM1Q1WkQGAP2BgcAk4FVV/UJEbgKWeffx1RLPKk6ZngWeUtXVIlIOSPduv19VfxaRCOBLEcnsiagHdAL64Fla9xE8K1t1wNN78b/e590CtAbKApu9la+vx4GfVPV2EbkGWC0iy4EHgGWqOkpEigPXAqjqjyJyjYhU9Pa6G2NMYZURkS3e7w+o6v3e79vgaVyeEJHfAPWBaECARSJyJ/ALnmWWm+NpG2wCNuZTXm71HN7jNAa+B1YDbUVkPfAu0FlVN4hIBSANmAH0BAaKyM3ANaq6NVtZ2ev27Kriqasb4Olw+BdwPxAFNAWq4FnKeKaIlAT+AXRU1R9EpDMwSlV7iUhP4F8i8jRwD9AKQFUvishePJ9V+b0u5gpgDWQTLjao6hEAEdmHt6cD+Aa4y/t9e6CRtyMCoIKIlFfVUz7HqQr84HN/NfCKiMwHFqhqsrdyHO39ULgIVMdTeYLnQ+Ubb47tQKKqqoh8A0T6HPcjVU0D0kTkMzwfNlt8Hv8NcIv8d7zbdXg+lDbw3wp6oar67nMcqAZYA9kY44/chlh8oqonvN//xnvb7L1fDk/dVB74UFXPAPh0GuQlt3ruHLBeVZO9x9qCp/78CTiiqhsAVPVn7+PvAy+JyHNAL2B2DmVlr9uzW6iqF4EdIpJZn98J/FNVLwDfi8in3u1RQBPgE+/nSXE8y5KjqttFZC6wGGijqud8ysiso62BfBWwBrIJF2d9vr/oc/8i/32fFsNTYaXlcZw0oHTmHVUd6+3dvRdPT3F7PD2/lYAWqnree7owc5+C5ADIvkZ79vsC9FfVZdkDehvmvwfmisgEVU3wPlTam98YYwLpF5/vBRijqtN8nyAiA7m8HsuUwX+HZJb22Z5jPecdouBbl17AU39KTmWo6hkR+QToCDyEp7c4u0vq9hz4lic+3+f0MwmwXVXb5HKspsBJ/ttxksnq6KuIjUE2brIc6Jd5x3fMmo+deIZJZD6nrqp+o6rjgK/wnH67DjjubRzfBdTyI0tHESktIhWBdnh6hn0tA/7s7SlGRG4WkbIiUstb9pvAW8Bt3scF+BVw0I8sxhhTUMuAXt4hZ4hIdRGpDKwC7heRMt7xvn/w2ecg0ML7/YPZjnVZPZdH2buAaiJyu/f55X3G9M4AJuM5m3gih30vqdsLaBXQxTtWuir/PRu5G6gkIm28OUqKSGPv9w8AFfH0Pk8Wket9jnczsL2QGYxLWQ+ycZOngakishXPe3cV8ITvE1R1l4hc5zP0YqC3EXwBz/izpXhOJS4Wka/wDIvY5UeW9cAS4CZghKp+L5dOqTQDzynFTd7G7w94xi+3A54TkfPAaeBR7/NbAF+6/ApzY0yYU9XlItIQWOsdXnAa6Kaqm0TkXTx14rd4LkrL9DLwnoh0Bz712Z5bPZdb2ee8433/ISJl8PTGtsczu9FGEfkZmJXLvtnr9oL4EPg1nqF6ScDnPjkexNMAvg7P58lEETkGjAViVfWweC4CnAT08A7bSMscCmiufKKa2xkVY9xJRJ4BTqlqUOZCliBMVycik4BFqpoYqGMaY4y/glHP5VNeNWAl0MA7ljin5wS1bs+Lt+yfVfWtUJdtnGFDLMyV6HUuHY/mBtuscWyMuRqJyKPAOmBwbo1jLyfr9pPAHIfKNg6wHmRjjDHGGGN8WA+yMcYYY4wxPqyBbIwxxhhjjA9rIBtjjDHGGOPDGsjGGGOMMcb4sAayMcYYY4wxPv4/k71pkF4sRT4AAAAASUVORK5CYII=\n", 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\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def dft(x):\n", " \"\"\"Compute the discete Fourier transfrom (DFT)\n", @@ -618,26 +494,9 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:37.663333Z", - "iopub.status.busy": "2021-09-23T10:12:37.661501Z", - "iopub.status.idle": "2021-09-23T10:12:37.673523Z", - "shell.execute_reply": "2021-09-23T10:12:37.672706Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Equality test for dft(x) and fft(x) using np.array_equal: False\n", - "Equality test for dft(x) and fft(x) using np.allclose: True\n", - "Equality test for dft(x) and np.fft.fft(x) using np.allclose: True\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "def fft(x):\n", " \"\"\"Compute the fast Fourier transform (FFT)\n", @@ -703,28 +562,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:37.681311Z", - "iopub.status.busy": "2021-09-23T10:12:37.680674Z", - "iopub.status.idle": "2021-09-23T10:12:44.424173Z", - "shell.execute_reply": "2021-09-23T10:12:44.423411Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Runtime (ms) for N = 256 : DFT 4.54, FFT 0.00870, FFT_np 0.00000631\n", - "Runtime (ms) for N = 512 : DFT 13.79, FFT 0.01813, FFT_np 0.00000491\n", - "Runtime (ms) for N = 1024 : DFT 48.53, FFT 0.03507, FFT_np 0.00000628\n", - "Runtime (ms) for N = 2048 : DFT 178.32, FFT 0.07120, FFT_np 0.00001038\n", - "Runtime (ms) for N = 4096 : DFT 775.13, FFT 0.14137, FFT_np 0.00001887\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import timeit\n", "\n", @@ -747,15 +587,8 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:44.430212Z", - "iopub.status.busy": "2021-09-23T10:12:44.429500Z", - "iopub.status.idle": "2021-09-23T10:12:44.434421Z", - "shell.execute_reply": "2021-09-23T10:12:44.435086Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "import libpcp.dft\n", @@ -788,15 +621,8 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:44.439087Z", - "iopub.status.busy": "2021-09-23T10:12:44.438384Z", - "iopub.status.idle": "2021-09-23T10:12:44.440829Z", - "shell.execute_reply": "2021-09-23T10:12:44.441532Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -806,93 +632,9 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:44.453010Z", - "iopub.status.busy": "2021-09-23T10:12:44.452312Z", - "iopub.status.idle": "2021-09-23T10:12:45.875766Z", - "shell.execute_reply": "2021-09-23T10:12:45.876543Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "=== Plot with axes given in indices (Fs=64, dur=2) ===\n" - ] - }, - { - "data": { - "image/png": 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\n", 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795GVlYWGDRsWmT5ixAiPvfhMr9cXKOwfOnQI5cuXt7lW/MyZM+jVq5fFvmoLq127dpn8gs3JybGrnZaPj0+Z7DuameHlZfthrnz58jhx4oSWh5T3AbCfiJIBxAPYyszbAbwP4O9EdBLA35XHmlenTh27KhWEEMJdnNWLxRBmrs/MDzKzLzN/6oz1asG1a9fwxBNP2FSjCQDlypVDp06drH65/vjjj3jyySeLTJ82bRouXLhQol4x1HTnzh1UqlSpwLRBgwbh22+/tWn5DRs24Nlnn7X59R5//HFs377droye7urVq6hevbr1GQu5ePFimepr+/r166hatardyyUlJSE2NlaTXS4y82lm7qTc2jHzTGX6FWbWMXML5a9H9CpUoUIF3L17V+0YQghRhDSxsCIqKgqvvPKKzTWau3fvxpEjR8x+uW7fvh1+fn4YOnQo1q9fj7CwsCKFlcjISLRv3x7/+Mc/nPYe3OX06dNo0qRJkelBQUFYv349hgwZguHDh6N79+5mC2l5eXm4evUqatasafNrtm7dGmlpaSWJ7XEWLlyIL7/80u6C7qFDh8pUX9tLlizBF198Yfd2+vjjj1G/fn2bToiF/e7fvw9vb2/jYxluWgihRVJAtuLw4cPw9/e3ef4ZM2agQYMGZgshr7zyCtLT05Geno4LFy6YraXS6XRITk5GTk5OibO72wcffIDly5ebLZBcvnwZFy9exIYNGyw2V/noo4/www8/2FWgISKcP38ewcHBHlcz6mh/0atWrbJ4Elac+fPn4+GHHy4zBb9ly5YhJSXF7u3Ut29fLF68GOXKlXNRsrLt999/R506ddSOIYQQxZICcjGMXX3Y0YZRp9Nh7dq1yM3NLTD9yJEj6N+/P0JCQjB9+nRERkZabLbh5eWFChUq4NatWyV+D+70/fff4+DBg2YLJNOnT0e7du0wbdo0tGzZEv/85z+LzLNgwQKkpaXZXaA5dOgQ4uLiPK5m9NVXX0VMTIzduXv27Glzkx9TOp0OEyZMQKtWrexazlP16NHDoe0EAP/617/w/fffuyCVuHz5sgwzLYTQPCkgFyM1NRVt27a1e7m//e1v2L9/v/Hxzp078dhjj6F///7GphqWui/L989//hNbt251OLu7Xb9+Hf369bNYINHpdFi8eDHCwsJw4sQJHD58GF27djXWnl69ehWPPfaYQwWaDz/8EL6+vh5XM+rv74/WrVsjODjY5mXOnz+Pnj172tzkp7BnnnkG33zzjd3LeRpmRtOmTR3eTvknqbZcTyDsYzrMNCBDTQshtEkKyMXYuXMn/v73v9u9nJeXF8qXL2+sAX755Zdx8eJFTJs2zeZ1dO7cGd99951Thmx2h+3bt2Ps2LE2F0jOnTuHhIQEY+3punXrEB4e7lCB5tFHH8WwYcPs6vZMbZcvX0aXLl2QmpoKb29vtGnTxqb/c1RUFPr06ePw65aV3iwuXLhQpIcYe0VFRTnUlEUUr3ABGZBCshBCe6SAbEFUVBTmz5+Po0ePOrR8//79sWXLFixatAivv/663TWjRITY2FiHfoJXw5EjR9CxY0eb5581axbatm2L3r17g5lx7tw5NG7c2OHXDw0NRXR0tMPLu9uGDRvwzDPPADAMZpGWlmZTzyWnTp2Cn59fiV7by8sL/v7+HnHi5aiEhAR06WLXCM5FzJw5Ew0aNPC4Xya0rnAB+aGHHsLNmzdVTCSEEEVJAdmCSZMm4cKFCw4XTgMCArBgwQIsWbIE/v7+DtWMhoeHw8/PT/Nf0PlXpdtzNbpOp0NKSgq8vLywceNGqyMV2rI+Tyrw/fbbb2jUqBEAQ88lHTp0sLp/5NeylfSqf71ej+TkZI848XLU0aNH0aFDhxKtQ6fTYdy4cQgKCnJSKgEA2dnZBfrwlsFChBBaJAVkC/r164cOHTo4XDjNL8ScOHHC4YLISy+9hKefftqhNpTuFB0djdDQUIeWnTBhAubNm4d58+aVqIBbrlw53Lt3D3l5eQ6vw11SU1PRpk0b42OdTocjR47g1q1bxf7UnJaWVmA5R82ePdsj22zb4969e07phaJXr17Yt2+fExKJfMxc4CRPCshCCC2SArIFf/31F5KSkkpUOJ01a5bDV9Hnq1mzJq5cueLw8u6wd+9eh9v/VqpUCd7e3k7phaJChQoe0XRgzpw5WLp0aZGcjz32GHbt2oX79+8jLCwMTZs2xTvvvGMc1W337t0lan+cT6fTYfjw4Zo/8XKUM9uzdunSBQcPHnTa+kRRUkAWQmiRFJDNyM3NBRHZ1b2bOdZ6qrDFgAEDsGnTphLlcKWoqCisWLGiQK8d9iquyzt7bNmyBUePHtV004E7d+5Ar9ebHbDj0Ucfxfz58zF48GBs2rQJZ8+exSeffILY2FgMHz4c+/btw6BBg5xyAlC9enVcu3atxOvRojNnzqBZs2ZOWdcDDzxQpMtG4Vwy3LQQQoukgGxGfHw8unbtqnYMAICfnx/S09PVjmFRWFhYidpqA845kQA8o+nA119/jYiICLMnBESE7OxsXLlyBeXLlzfOExISgs8++wwXLlxw2kWbXbp0QWJiYonX4w72Dqhy8ODBEl+gZ8rHxwcXL150SjZRlNQgCyG0SArIZuj1evTt21ftGEbXr19HUFCQJr+Eu3btiqCgIE0USrXedICZcfToUYwcOdLiCUH+gCqLFi1CdHQ0wsLCjPM6q6YdMHQj6CkF5Ndee82uE4MtW7Zg1KhRTvu89OnTB7t37y4wbfPmzfDz88PgwYM9pqcZLcjLyytykWmlSpVw584dlRIJIYR5D6gdQItu376NSpUqqR3DKC4uDocPH0Z4eLjmCn81a9ZEfHy82jGMvL29cf/+fTzwgPZ27bi4OKuDguQPqGKuTXf+ADPOULVqVWRnZztlXa6Um5uLVq1a4dq1a5gwYYLV+TMyMrB7927jrxrO2F5ZWVkICwuDj4+PcX1jxoxBRkYG2rZti5YtW2riBNETXLlyBbVq1VI7hhBCWOWUGmQiepyIThDRKSKy/i2mYevWrcPXX3+tqdra999/X5NNB7T4ZdeyZUucPHlS7RhFREVFYeDAgahataraUTzK559/jsmTJyMxMdFqjffNmzfx/vvvY8WKFU6raQeAiIgIZGZm4rXXXgMAnD592jhsfH5Nv9ZOXLXK3CAhgAwUIoTQnhIXkInIG8AnAPoBaAtgCBHZPz6zRkybNg2nT5/W1E+mjz76KF588UXNfQlv27YNTzzxhNoxCujYsaPDg7u40sSJE5GZmWnXaIqupvWLo27duoW0tDR07twZ9erVQ3Z2Njp27Gj25HXbtm1o2bIl+vTpg379+jm10BoZGYng4GC0bt0at2/fxrJly7BgwQIpGDvAUgFZCCG0xhk1yF0BnGLm08z8F4D1AJ5ywnpVERwcjO7du2uutlaLUlNT0bp1a7VjFNCqVSukpaWpHaOIkJAQBAQEaGq/0noXZq+99hr0er2xQBwTE4OjR49iypQpBea7evUqRowYgYsXL2LBggVOz6HT6RATE4MPP/wQ/fv3x6ZNmxATE+P01ykLLl++LAVkIYRHcEZDzQYAfjN5nAGgW+GZiGgUgFGA4arwvXv3OvRi2dnZDi9ri7y8PMyePRsAbH4dV2cCDF8sW7duReXKlTWRKT4+HitWrEDNmjURGBioiUz5Tp06pan/HWCoOfvggw8AWN+v3JUpLi4OH374Id59912r/8Ps7Gy88sor2Lx5M9566y2b/+eOSkpKwrZt25CZmYnXX38dixcvxtNPP40LFy6gY8eO2Lt3L7KzszFlyhQsWbIETz31FOLj4zFgwACXbrv09HScPXvWmKkwd/3vPFVxNciFBxARQghVMXOJbgAGAVhp8ngogI+LWyYwMJAdtWfPHoeXtcXkyZPtXsbVmZiZt27dyrGxsTbP7+pM7du3ZwAcEhJi8zLu2E7MzFOmTLF5XndkSk9P52XLltk8v7u2U0hIiM3/wz179vDDDz/MALhGjRocGBjIer3eJbkyMzM5LCyMd+3axSEhIQVeJy8vj9944w3Oy8vjbdu2cb169ezeD0tCr9cXyWTK3v8dgINcwmOwozdHj8Ml2T8jIiI4Ly+vyPS5c+fyzZs3HV6vrdz12XI2T83NLNnV4Km5mdXJbuk47IwmFhkAGpo89gWQ6YT1ut3169dRrVo1tWOY1b59exw7dkztGEZ9+/ZFYGCgppoM5HvooYdw/fp1tWMYffPNNxg4cKDaMYqIjIxEs2bN8Morr1idNyUlBS+//DJCQkLg4+ODxMREl7TT1+v16Ny5M3r16oW+ffsWaedLRNDpdIiKisLq1avx0UcfOfWCPGuc1Wd3WcUWaom10hfy9u3b0blzZ01dpC2EUIczCsgJAFoQUVMiKgdgMIAfnbBetzty5Ag6duyodgyzGjZsiPPnz6sdw6hq1apISEjQZEFBSxfq6fV6LFq0CElJSWpHKUKn0+HgwYO4cOGC1Xl/+eUXhIeHIzo6GosXL0aDBg0QERHh9EyvvvoqLl68iFmzZlmc5x//+AciIiKQkJCAWrVqlakCKxE1JKI9RJRKRClE9LoyfSoRXSCiJOWmratnrdDKBaPjx483dqkphCjbSlxAZub7AMYC2AEgFcAGZk4p6XrVoOUCstba5hGR5jLl69ixI44cOaJ2DADAO++8g8zMTM1+4daoUQPXrl0zdrNlbmS49PR0+Pj4wNvbG4ChYP3f//7X5vbwtrp37x46duxotUaYiMDMOHPmjGa3qwvdB/A2M7cB0B3Aqya9Bn3IzP7K7Sf1Itqvbt26mqhBfuKJJ1CrVi1N/jImhHAvp4ymoByMPeqAbM6lS5dQr149tWNYlF+IEcU7duwYZs+ejVatWqles/jYY4/By8tL01+4oaGhiImJQUhICF5++WWcPXsWgwcPxkMPPYRevXohIyMDGRkZiIqKMm7PPn36YN68eQgNDXVajs8++wzh4eHo0KGD1XmnT5+O119/XdPb1RWYOQtAlnL/JhGlwnChtEerU6eOJpqQVahQAa+//rrVAX2EEKWf9oYbU5HWC6C1atXSxOAcly9fRu3atVXNUJyIiAhkZGTYPZJaVFQUwsPDERkZ6bSCdYUKFZCQkGCsfdWixx9/HMOGDcPgwYPRv39/JCcn49q1azh+/Djq1q0LLy8vpKamFtieFStWdOrwwFu3bsW0adOwZs0am+YvbsTBsoKImgAIAHAAQCiAsUT0AoCDMNQyXzWzTIl7E3K0pw5mxtmzZ80ue/v2bcTFxaFp06Z2r9ce1rKnp6ejQ4cOWLFiBTp16uTSLPbw5N5RJLv7eWpuQFvZpYCsyM3NhZeXUwYWdJn27dsjJSUFPXv2VDVHSkoK2rdvr2qG4kRGRmL06NEYM2aMzcvk5ORg5MiRxp/tnVVAZmZNF44B4MEHH0RcXBwyMjKQnJyM6OjoAicLAMzW1jZp0gRnzpxxSqEmLCzMqcNDl3ZEVAXAdwDeYOYbRLQUwHQArPxdAGBE4eWYeTmA5QDQpUsXduQEY+/evQ6dmFy9ehX+/v4Wl42Li3P5CY+17Lt378aoUaOwfPlyTZ18ObrNtUCyu5+n5ga0lV3bJUIHLFmyBA0bNsTf//53i6NumZOeng4/Pz8XpyuZdu3aaeJnyGPHjmm6gKzT6aDX63Hr1i2b5v/oo4/QsmVLPPPMM2jUqBHefPNNp2XR+q8S+QoPz2zaW0N+bW3hgus//vEPbN261SmvHxoaim7dupW5JhOOIKIHYSgcr2XmjQDAzJeYOZeZ8wCsgGEAJ03R+ih6t27dQsWKFVGtWjVN9YIjhFBHqSsgz5gxAxkZGYiLi8PRo0dtvohn7dq1WLBggaa790lJScHs2bNVz/j777+jTp06qmawpkmTJjh37pxN886bNw+ZmZn45ZdfcOjQIaSmpjolw9WrV1G9enWnrMvVHOm+rEGDBti/f3+Ri/ocUa9ePcTFxUntsRVkuDL2UwCpzPyByfT6JrP9G4D6Z9KFaL2AfOLEiQIjg3rKya0QwjVKVQE5JibG2FdreHg4GjdujHfeecemZVetWoXk5GRNXxVv2rZWWOfl5YXc3Nxi57l792QLVoAAACAASURBVC50Op2x9rRWrVrw8vJyyhX1KSkpNl1w5skSExMRExMj+6T7hMIwGFOfQl26zSWio0R0BEBvAM77GcRJtF5ATklJQdu2hg5BmjZtirNnz6obSAihqlJVQN60aRMiIiIQHR2NsLAw6PV6XLlyxepyzIwePXq4dcABR0RGRqJRo0aYMGGCXcvp9Xp07dq1QC3fkiVLikyzhSfVqgQFBeHgwYPFzhMXF4dx48YVqD0dPXo03n333RLXjB49elTTTVGc4ZNPPkH9+vVL9Lm5efMmqlat6sRUpRcz72dmYuaOpl26MfNQZu6gTH9S6e1CU6wVkNXuNjI9PR3NmzcHAAQHByM2NlbVPEIIdZWaAvLx48fRqlWrAhdE+fn5IT093eqyCQkJGDRokOYHHNDpdPj8889RoUIFu5Z79dVXkZCQgJdeeglbtmxB48aNMX36dCQkJGDy5Ml2revChQvw9fW1axm1PPLII9izZ0+x8/z6668IDAwsMK127dqIiYlBTEyM3dvHVFZWFurXr299Rg/26KOPYunSpSU6cUpOTtZUjwHCNaz1wKP2yXdubi4eeMBw3Xrr1q2Rlpamah4hhLpKRQH59u3bGD9+PD799NMiNX62jNC0bds29OvXz5URnSYoKAjx8fE2z3/16lV07twZISEhmD59OkaPHo3z58+jZs2aCAgIQKtWrex6/WPHjqFdu3b2xlZF1apVkZycjKCgIEycOBHBwcEF9o+bN2+iYsWKZmuulixZgs6dO4OIHKppz6d2rZg7PPnkk1iyZAlCQkIc2k5JSUnw9/d3QTKhJcxcbE9BlSpVQk5OjhsTWebl5YW8vDy1YwghVOTRBeSoqCj4+/tjyJAhyMrKQlxcXJG2kAMGDMDGjRstriMvLw93795FxYoVXR3XKSpVqoTbt2/bPP+8efOwePFiREdHY+jQofj8888REhKCRYsW4dChQ2jRogVat25tc8Fm06ZNeOutt1S/UNBWx44dw8GDB/HBBx8gLi4Ob7/9tvG5WbNmYe/evWbfi06nQ2JiIu7fv4+EhAS729iqXRvmTkSE1NRUxMbGOtQW+fLly5pumyrco06dOqqNpnf79u0iv8xVrFjR5p5whBClj0cXkMePH4/k5GRcvnwZc+bMMduGuEmTJti5cyc6d+5sLAht3rwZQUFBiIqKQmxsrMeNmvTAAw/g3r17Vuf7+OOP8e233yIpKck4rXBvBT/99BNOnDhhc8Fm69atiI+P95iLshYuXGisPQ8ODkajRo3QoEEDDB06FOvWrUN6enqx72X27Nlo0KABpkyZYtfrZmVl4eGHHy5pfI/xwQcfwNfX16G2yGXpZEJYpuZw04V7sACALl26IDExUZU8Qgj1eXQBuXPnzggKCsL06dOL7aYqKysLhw8fxv/93/+hUaNGeOmll3Dw4EEMGTIEgwYNMrY78xQBAQEFCr2WzJ07FydPniy2ABgZGQlfX19ERERYXd+dO3fQt29fzV/MaCp/vwgLC0NMTAyuXLmCzMxMnD59GqtWrUK7du2KfS86nQ5btmzBH3/8YdfrloUL9Ez169cPQ4cORZ8+fexa7q+//sKDDz7oolTCk6hZg5ySklKk6Vi3bt1w4MABVfIIIdTnsQXk3Nxc1KxZE/Hx8VYvrJsxYwZCQkLw0EMP4bfffkOdOnUQEhKCmjVrIisrCzNmzHBTaucICQlBdHS01fn+9re/WS3M6nQ6fPzxxzb117t//34MGzZM8xczFicyMtK4TSwNgFGYv78/kpKS7Krp3LRpE95++22PaYriDI7UuKWmphq71hKll16vx6pVq4r9PKhZQDbtwSJf9erVZcAQIcowjy0g79ixA4899phN8+bXIi5btszY/jY6OhqffPKJR9WG5qtTp47VGs0LFy7YPPhD7969rfb2AADR0dEIDQ21K6vWODIgBgBUqVLFrpEZt2zZ4lFNUZzhsccew7Zt2+xaZu3atZg1a1aZOpEoi8LCwqz24a5mAfn+/fsWf0mUJkBClE0lKiAT0SAiSiGiPCLq4qxQtti3b5/d43UXLhw5WljSgnPnziEwMNBiwSI+Pt7mnjmqVauGGzduWJ3v3r17KFeunF05S4sdO3bg2LFjNhV4c3Nz0bt3b488+SqJypUrIycnx64Cxbp163D48OEydSJRFrVu3Rrdu3cv9vNQpUoV3Lx5042prGvSpIkMGCJEGVXSGuRjAAYA+NkJWWz29ddfY8OGDdi9e7c7X1ZTTp06hUOHDmHo0KFmu9e6cuWKXReJVa5cGdnZ2Rafz8jIQIMGDRzO6+lmzJhh80Vohw8fxtNPP+2xJ18lQUQFLoi1pmfPnmXuRKKsOXnyJHr06IHY2NhiPw9qdYlorgeLfN27d0dcXJybEwkhtKBEBWRmTmXmE84KY6v33nsPZ8+eLdO1TvntqsuXL1+ke63bt2/bXdPbs2dP/Pyz5fMce5q0lEY6nQ5jxoxB9+7drc67d+9e9OrVyw2ptGf37t1ISkqy6bN5/vx59OrVq0yeSJQlq1evxogRI9SOYZG5HizytWnTBqmpqW5OJITQArd130BEowCMAgAfHx/s3bvXofVkZ2ejWbNmqFSpEgYMGODwepwpOzvb7Tm8vb0xc+ZMJCYmYtGiRWjcuLExw4EDB9CqVSu7Mt2/fx8fffQR3n33Xbz44osIDAxEYmIiVq1ahYCAAGzfvh3vvfdekVHn7KHGdrLGnkwVKlTAsmXLrG6D5ORkJCcnuyWTu9ia6ZlnnsHp06dt+mxu27YNHTt2LNGxwFO3U1mRnp6O+vXr29zP/IkTJ9C9e3fMnDnTbSdNx48fR+fOnc0+5+XlJW2QhSirmLnYGwA9DE0pCt+eMplnL4Au1taVfwsMDGRH6fV6njJlisPLu8KePXvUjsBjx45lPz8/fuONN7h3797ctm1b1uv1dq2jcePGDIBDQkL4/v373KhRIwbA5cuXN04vCS1sp8LsyZSdnc0zZ84sdp67d+/y1KlT3ZbJXezJNGnSJM7Ly7M638SJE22azxmZ3MXeTAAOso3HTWffHD0O2/MeJ06cyDk5OTbPHxgYyAA4ODjYgWTWmcs+bdo0vnfvnsVlRowYwUFBQXYfT51Ji/u6rSS7+3lqbmZ1sls6DlttYsHMfZm5vZnbD84vrlt38uRJi2f7ZVliYiJOnTqFX375BXfu3MHx48ftboLy6aefws/PDzVq1ICvry8GDRpkHGRD2oka2mlbG1nrwIEDNjXDKM2aNWuGM2fOFDsPM4OIysRQ3GXV2bNnUadOHVSqVMnmZebMmYNOnTqhRYsWLkxWUHE9WACG0TgTEhIwceJEt2USQqjP47p5S05OLrPtO4uTX4idM2cOpk+fbnUADHN0Oh1OnjyJjIwMXLx4EbGxscZBNqSdqIG3tzfu379v8flffvkFPXr0cGMi7QkODkZsbGyx8xw/flz6Py7lVq5ciZdfftmuZXQ6HZKSkjBs2DAsWbLERcnsM2vWLAQFBaFevXrIyclRO45wk6ioKIwdO1a6oCzDStrN27+JKANAMICtRLTDObEsy87ORo0aNVz9Mh7HtMs6WwfAsGTBggVSY2yBv7+/xfbFmzZtwscff1zmr3pv1aoVTpwo/trdqKgoOeEqxc6fP4+aNWuiSpUqDi3fp08f1KhRAxs3bnRysoLu3LmD8uXLFzuPTqdDfHw8li9fjvHjx+P27dsuzSTUx8wYOnQoUlJSynRnAGVdSXux2MTMvsxcnpl9mNml3RzcvXvX44aF9kSe3D+0q/Xo0QP79+8vMG3nzp1o3rw5Ro0ahYsXL5b5A6q1C5uioqIwZ84cHDt2zI2phLvcunUL48aNw9dff12i2rchQ4Zg165daNOmDfR6vRMT/k9xPVgU5uPjg4kTJ+Ldd9/F3bt3XZJHaMP69esxduxY1KxZE1OnTlU7jlCJRzWxiIuLk59lharq1KmD/fv3F+h7+qWXXsLp06dRt25dqXlXVKhQwWxNW25uLoYPH47MzMwyfyJR2uTm5mLNmjWYNm0aMjIynDKSZHJyMtLS0vDCCy/gm2++QW5urpPSGtjb1Ofhhx9GcHAwGjdujKlTp0qTi1LowoULSEtLw8SJEzFr1iykp6erHUmoxKMKyGvWrMHq1aulTZBQVVpaGmJjYzF58mQsX74c48aNKzCEudS8A126dEFiYmKBadu2bUPDhg3x7LPPyolEKRIVFYV27dph0KBBaNu2LebMmYO5c+c65X+cf23FF198AV9fX0yYMAFvvPEGunXr5pTvgZMnT8LPz8+uZT755BNcunQJGzduxMKFCzFx4kS8/fbbCAwMxK5du0qcSaiHmTF37lyMHz8egKG52I0bN3Dy5EmVkwk1eFR7hSNHjiA1NRXh4eFSCBGqWbhwIcaPH4/c3FzMmzcPy5Ytw7vvvqt2LE3p2rUrVq1aVeCCxdGjRyMrK8t48afwPLt27cKoUaMwYMAAVK1aFcyMVatWISMjA9WqVUNQUBAAGK+FKKnC6wkODkbnzp1x+PBhDBs2DGPGjEGvXr2Qk5ODadOmITIy0ubXzc7OxuHDh/HII4/YtVxkZCTCw8MLLJOfacSIEXjxxRcBGGoif/75Z4wcORJPPPEETp48iXnz5mH69Ony/aVRK1euxP/93/8V6HnlzTffxFtvvYWFCxfC29tbxXTC7cz1/ebqm6P9b+r1em7Xrp2q/VGao8U+ByWTbUqSKSQkxCn9QxdWWrbTwIEDOTg4mPV6PcfFxfFbb73FISEhTvv8lobtBCf2gwzgcQAnAJwCMMHa/I4ch4ODgxkABwYGcm5uLjMbjsvO/L9aY/p62dnZvHXrVvb19WUA7Ovry+vWrePPPvvMuO+Z2rNnDycmJvKkSZN46tSpHBAQ4JTPsLlt0L17dwbA7du35w0bNnCTJk2MGcPDwzk8PJyHDh3Kvr6+/Pzzz3N4eDjPnDmTx44dy82bN+fJkyfz5s2bef78+dy0aVNevnw5//rrr3z+/Hn+7rvvuFu3brx9+3ZjX+KFM7j7/2KJFj+n5pw8eZJnz55dYFp+9qNHj/KHH36oQirHeMo2N0dL/SB7VAGZWZv/eMlkm9KWyVVfQKVlO3Xs2JEBcPPmzblevXq8a9cu1TO5mloFZADeANIBNANQDkAygLbFLePIcVirlRT5n8UdO3ZwSkoK+/n5FSmMPvfcc1yrVi2eNGkS37lzp8Byrng/thRYC59k37lzh4OCghgA+/v7c3x8PLdr144BcMuWLfnLL7/kFStWcNOmTRkAN2zY0Pj+TE8SCj+OiIjgiIgIfuGFF9jX15eHDh1qnPb8888bC+kRERHGQnv+PPkF+YYNG/KIESN4zpw5vGDBAh4zZgw3bdqUX3vtNf7vf//Lb7/9Nvv5+fH48eN57dq1/NVXX/GUKVPY19eXp02bxj/88ANv3ryZZ82axW3atOE5c+ZwVFQUz58/n9u3b88LFy7kmJgYjo2N5cWLF3OHDh146dKlfPjwYU5OTuYVK1awv78/f/rpp5yWlsafffYZBwQE8Oeff86nT5/ms2fP8tq1azkwMJDXr1/PmZmZnJWVxd988w0HBQXxxo0b+cqVK/z9999z165d+YcffuAbN25wdnY2b968mevVq8fbtm0r8D80/TyPGTOGO3XqVOD/Z+5/asv/3dXLFf6MajWnuXmsZbf19ewhBWQXkky2kUy2KS2Z9Ho9d+/enevWrSs17RY4sYAcDGCHyeP3ALxX3DLuGElPLbYURrXA3QUec9ug8DRz8+T/ctC9e3fOzs7m69evGwvyXbp04YyMDOMoiAEBAXzixAk+fvw4+/v7MwDu1KkTJyYmcnx8PHfo0MFYs75v3z7jCUDbtm15+/bt/NNPP3Hr1q0ZALdu3Zo3bdrE3333Hbds2ZIBcIsWLXjdunXcokULBsB+fn68evVqXrVqFTdv3pwBcLNmzXjZsmW8ZMkS48lE06ZNeeHChcaa/MaNG/O8efN47ty5BUaRNWW6r+dvA9MTDnMnIYWn2TKPLOec5Rz9bFs6DntUG2QhhOfIbz8aFRVlbLMpXKYBgN9MHmcA6FZ4JiIaBWAUYOi2bO/evXa/UHZ2tkPLuZO3tzdmzpwJAMasAwYMwJ9//okBAwZoJr+5nIWneXt74/3334e3t7fFeSwtZ24bXL9+vcA2KDzN3DxPP/00bty4gYEDByIhIQEA8Oyzz+LWrVsYPHgwTp48iSFDhuDOnTt47rnnkJmZCQB4/vnncefOHQwdOhQ3btwAAAwbNgyrV6/G8OHDkZeXhxdffBGrV6/Giy++aOyT+uWXXzZOq169OgBg1KhRxmn169fH6NGjjY+bNGkCAPjPf/5jnNaqVSsAwKuvvmqc1qlTJ4wdO9b4ODAwEAAwbtw4rF69usi+Ybqv528D0+WqVq1aZF2Fp9kyj7OXyx+kR+s5zc1jLXtx63b6Z9tcqdnVN6lBdj3JZBvJZBvJZBsVa5AHAVhp8ngogI+LW6Y01yBb4qnZPTU3s2RXg6fmZtZWG2SP6uZNCCGEWRkAGpo89gWQqVIWIYTweGQoPLv5RYl+B3DOwcVrA/jDiXGcQTLZRjLZRjLZpjRkaszMdUr6okT0AIBfAegAXACQAOD/mDmlmGUcPQ5rcbvbylOze2puQLKrwVNzA+pkN3scVqUNckm+EIjoIDN3cWaekpJMtpFMtpFMtpFM/8PM94loLIAdMPRosaq4wrGyjEPHYS1ud1t5anZPzQ1IdjV4am5AW9nlIj0hhCgFmPknAD+pnUMIIUoDaYMshBBCCCGECU8sIC9XO4AZksk2ksk2ksk2kkkdnvwePTW7p+YGJLsaPDU3oKHsqlykJ4QQQgghhFZ5Yg2yEEIIIYQQLiMFZCGEEEIIIUxopoBMRI8T0QkiOkVEE8w8T0S0SHn+CBF1tnVZF2Z6TslyhIhiiKiTyXNniegoESUR0UE3ZnqEiK4rr5tEROG2LuvCTGEmeY4RUS4R1VSec9V2WkVEl4nomIXn1difrGVSY3+ylkmN/claJrfuT0TUkIj2EFEqEaUQ0etm5nH7/qQGT30vrvr8uIK5/Z+IahLRLiI6qfytoWZGSyxkn0pEF0w+s0+omdEcS59xT9juxWTX9HYnogpEFE9EyUruacp07Wxzc8PrufsGQ7+d6QCaASgHIBlA20LzPAFgGwAC0B3AAVuXdWGmEAA1lPv98jMpj88CqK3CdnoEwBZHlnVVpkLz9wew25XbSVlvTwCdARyz8Lxb9ycbM7l1f7Ixk1v3J1syuXt/AlAfQGflflUYBuRQ9fikxs2T34urPj8uylpk/wcwF8AE5f4EAHPUzmlH9qkA3lE7m5XcZj/jnrDdi8mu6e2uHCurKPcfBHBAOXZqZptrpQa5K4BTzHyamf8CsB7AU4XmeQrA52wQB6A6EdW3cVmXZGLmGGa+qjyMg2F4V1cqyXtVbTsVMgTAV0543WIx888A/ixmFnfvT1YzqbA/2bKdLFFtOxXi8v2JmbOY+ZBy/yaAVAANCs3m9v1JBaXpvWiWhf3/KQBrlPtrAPzLraFsVILjiaqK+YxrfrvbeHzSHOVYma08fFC5MTS0zbVSQG4A4DeTxxko+g+2NI8ty7oqk6mXYKhByscAdhJRIhGNckIeezIFKz9bbCOidnYu66pMIKJKAB4H8J3JZFdsJ1u4e3+ylzv2J1u5c3+ymRr7ExE1ARAAQ22HKa3vT87gye9Fzc+PM/gwcxZgKBABqKtyHnuNVZoerdJiMwVThT7jHrXdzRyfNL3dicibiJIAXAawi5k1tc21MpIemZlWuP85S/PYsqwjbF4vEfWGoUDTw2RyKDNnElFdALuIKE05u3Z1pkMwjCuerbQ5+h5ACxuXdVWmfP0BRDOzaQ2DK7aTLdy9P9nMjfuTLdy9P9nDrfsTEVWBoTD+BjPfKPy0mUU0sT85kSe/F7U+PwJYCmA6DPvKdAALAIxQNZEFhT/jROZ2eW0yk13z252ZcwH4E1F1AJuIqL3amUxppQY5A0BDk8e+ADJtnMeWZV2VCUTUEcBKAE8x85X86cycqfy9DGATDD9PujwTM9/I/9mCDUPPPkhEtW19P67IZGIwCv0c7qLtZAt37082cfP+ZJUK+5M93LY/EdGDMHz5rGXmjWZm0eT+5GQe+15UPM44yyWlyQ6Uv5dVzmMzZr7EzLnMnAdgBTS67S18xj1iu5vL7inbHQCY+RqAvTD8IqiZba6VAnICgBZE1JSIysHwxfdjoXl+BPACGXQHcF2pfrdlWZdkIqJGADYCGMrMv5pMr0xEVfPvA3gUgNkr8l2QqR4pp71E1BWG//EVW5Z1VSYlSzUAvQD8YDLNVdvJFu7en6xSYX+yJZO79ydbc7ltf1Le/6cAUpn5AwuzaW5/cgGPfC8qH2ec5UcAw5T7w2Cy32tdfmFH8W9ocNsX8xnX/Ha3lF3r252I6ig1xyCiigD6AkiDlra5pav33H2D4SrwX2G4SnqSMu0VAK/w/654/ER5/iiALsUt66ZMKwFcBZCk3A4q05vBcIV3MoAUN2caq7xmMgwXeoWovZ2Ux8MBrC+0nCu301cAsgDcg6Hm6yUN7E/WMqmxP1nLpMb+VGwmd+9PMDR1YQBHTP43T6i9P6lx88T34srPj4vymtv/awGIAnBS+VtT7Zx2ZP9C+UwcgaHwU1/tnGZyW/qMa367F5Nd09sdQEcAh5V8xwCEK9M1s81lqGkhhBBCCCFMaKWJhRBCCCGEEJogBWQhhBBCCCFMSAFZCCGEEEIIE1JAFkIIIYQQwoQUkIUQQgghhDAhBWThUkRUi4iSlNtFIrpg8jjGRa8ZQEQrXbFuRxDRZ0Q0sJjnxxLRi+7MJIQoW4go1+TYm0SGYYlLDdPjPhENJ6LFhZ7fS0Rdill+PRG1cHVO4Tm0MtS0KKXYMBqcPwAQ0VQA2cw838UvOxHADBe/hjOtAhANYLXaQYQQpdZtZva39CQRPcDM990ZyMlKetxfCuBdACOdE0d4OqlBFqohomzl7yNEtI+INhDRr0T0PhE9R0TxRHSUiJor89Uhou+IKEG5hZpZZ1UAHZk5WXncy6TG5LDJiFphyjqOENE0k+VfUKYlE9EXyrTGRBSlTI9SRrzLrxleREQxRHQ6v5ZYGU1tMREdJ6KtAOqarP99ZfoRIpoPAMx8C8BZZaQ6IYRwC6Wm9Rsi2gxgpzLN0rFxEhGdICI9EX1FRO8o0401s0RUm4jOKve9iWieybpGK9MfUZb5lojSiGitMhociChIOZ4mK8f/qkT0CxH5m+SIJqKOhd5HgeO+lff8pMl3wgkiOqM89QuAvkQkFYcCgNQgC+3oBKANgD8BnAawkpm7EtHrAMYBeAPARwA+ZOb9SiF1h7KMqS4oOKTmOwBeZeZoIqoC4A4RPQqgBQxj0xOAH4moJwxDKE8CEMrMfxBRTWUdiwF8zsxriGgEgEUA/qU8Vx+GkYxawzBa0bcwDOvZCkAHAD4AjgNYpazv3wBaMzOTMsym4iCAvwGId2TjCSGEFRWJKEm5f4aZ/63cD4ahcPlnMcfGHBiGFg+AodxwCECildd7CYYh14OIqDyAaCLaqTwXAKAdgEwYfj0LJaJ4AF8DeJaZE4joIQC3YRhhdDiAN4ioJYDyzHyk0GsVPu4DwLNE1MPksR8AMPOPUIZIJ6INAPYp0/OI6BQM30XW3psoA6SALLQigZmzAICI0qHUZsAwVGZv5X5fAG2VygYAeIiIqjLzTZP11Afwu8njaAAfENFaABuZOUP5EngUhmEuAaAKDF8KnQB8y8x/AAAz/6k8HwxggHL/CwBzTdb/PTPnAThORD7KtJ4AvmLmXACZRLRbmX4DwB0AK5Wa5S0m67kMQyFbCCFcwVITi10mxzpLx8aqADYpv3aBiH604fUeBdCR/nf9RTVlXX8BiGfmDGVdSQCaALgOIIuZEwCAmW8oz38DYAoRhQEYAeAzM69V+LgPAF8z89j8B0S01/RJInoXhm3yicnkywAehhSQBaSALLTjrsn9PJPHefjffuoFIJiZbxezntsAKuQ/YOb3lcLoEwDiiKgvDDUjs5n5v6YLEtFrMIxpb43pPKa5ycI8+VnuK80odDDUxowF0Ed5uoKSXQgh3CnH5L6lY+MbsHxsvI//NdesYDKdAIxj5h2F1vUICh43c2E4xpO512DmW0S0C8BTAJ6Boba4sALHfWuISAdgEAyVGabkOCyMpA2y8CQ7YShUAgBM26WZSIXyU5oyT3NmPsrMc2BoxtAahqYZI5QmFyCiBkRUF0AUgGeIqJYyPb+JRQwMBVoAeA7Afis5fwYwWGmDVx9KDbjyetWY+ScYmoyY5m+Joj8RCiGEO1k6Nv4M4N9EVFFp79vfZJmzAAKV+wMLres/RPSgsq6WRFS5mNdOA/AwEQUp81c1aQ+8EoambQkmtd2mChz3i0NEjQEsAfCMmcqWlgBSbFmPKP2kBll4ktcAfEJER2DYd38G8IrpDMycRkTVTJpevEFEvWGopTgOYBsz3yWiNgBileYa2QCeZ+YUIpoJYB8R5cLwM+Nw5XVXKT/x/Q7AWpdsm2CoGT4K4Fcobdxg+JnyByKqAENtyZsmy4QCmAYhhFAJM++0cGw8RERfA0gCcA6GC9ryzQewgYiGAthtMn0lDE0nDikX4f2O/127Ye61/yKiZwF8TEQVYajJ7QtDz0eJRHQDFnr6MXPcL85wALUAbFLeYyYzP6E0kbud39RPCGK25RdlITwHEb0J4CYza6Yv5OIQUQCAt5h5qNpZhBDCGnJfl535r/cwgL0wXOCcZ2GeEh33leVvMPOnDgcVpYo0sRCl0VIUbOOmdbUBTFE7hBBCaA0RvQDgAIBJlgrHipIe968BWFOC5UUpIzXIQgghhBBCmJAa97alHAAAADVJREFUZCGEEEIIIUxIAVkIIYQQQggTUkAWQgghhBDChBSQhRBCCCGEMCEFZCGEEEIIIUz8P/usQHKpdg21AAAAAElFTkSuQmCC\n", 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.dft.exercise_freq_index(show_result=show_result) " ] @@ -917,15 +659,8 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:45.881596Z", - "iopub.status.busy": "2021-09-23T10:12:45.880775Z", - "iopub.status.idle": "2021-09-23T10:12:45.882916Z", - "shell.execute_reply": "2021-09-23T10:12:45.883612Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -935,79 +670,9 @@ }, { "cell_type": "code", - "execution_count": 12, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:45.895203Z", - "iopub.status.busy": "2021-09-23T10:12:45.891185Z", - "iopub.status.idle": "2021-09-23T10:12:47.227432Z", - "shell.execute_reply": "2021-09-23T10:12:47.228210Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "=== Plot with axes given in indices ===\n" - ] - }, - { - "data": { - "image/png": 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GhESDhx56iMOHD3udNysri549ezJz5kyP/aOioigoKPAYoxrs91NWVpbl9oeQ+saYvQDGmL0iUs+xvjGw3G2/TMc6L4LZLyQ9PZ19+/ZFRO72+ZCDrnWMDCK9jrt27QKwro7GGMv/OnXqZM6FxYsXG2OMiY2NNYCJiYkxixYt8tjnrrvuMt26dfNYv2jRIhMbG+u1b8uWLf2WE0zy8/PNwIEDTZ06dUybNm08zp2ZmWn++te/eh1js9nMd99957W+f//+pl69eqZ169aW1qFx48YGMJUqVfKpQWJiYpEaOLWMi4sLiQanT582gwYNMrVr1zZt27b1OPfPP/9s5s2b53XM3Llzzfr16z3W5efnm/79+/vU0lnHYNGoUSMDmMqVK5fo++5vfZMmTc5Zg7LU8fDhw2bYsGHmoosuMgkJCV7X7ttvv/U65r333jPZ2dke606fPm3uvPNOU7t2bdOuXbuAf48CrSOwypSyzcSea7zBbflooe1HHP/fBu5yWz8d+HNx5Ze1TS7MlClTzIMPPnhOZZY3gn0flwe0jpFBpNdx3bp1Jj4+PuDl+muTwzLFwvn6+89//rNXtMh9cgQnzslCevfu7bFv165d6datG/369bM06rR27Vr+/Oc/07hxY7Zs2eJh6/bt22nUqJHXMc2aNXONqODkgw8+YM2aNdSqVcvy6bSd4xzffvvtPjUonDualJTE0KFDvfbt3r07iYmJlmuwZMkShg4dSoMGDdi8ebOHrYWHeHPiS4M33niDdevWUbNmTS8tg03v3r3p1q0bt912m8e1S05Odr0xccffpDk9evQgMTGRvn37WqrBN998w4gRI6hbty4bN248Zw1eeukl1q1bxwUXXBBWQ/GVkX0i0hDA8X+/Y30m0MRtv1gg22LbyMvLIzra8tRnRVEiGKvblbB0kOPj41m6dCm1atXiiiuu8Mg79Jc7Wr9+ffbv3+9VTlpaGp06deLQoUOW2A7w7rvvMnHiRAYOHOg1BfOOHTto2LCh1zG//PILI0eO9KjruHHj2Lp1K9HR0ZZO5WzcxtitXLmyV+6nPw0qV67sMR61ezlt2rThzJkzltgP9vSE5557joEDB3pNwezPOdu9ezePPPKIR10nTZrEpk2biImJsVSDnJwc2rVrR1paGlFRUXTr1s1lV3JyMk2aNPFri3Ebj/rMmTO0adOGpUuX0rx5c0vHqv7yyy954IEH6NevH/Hx8R727tmzx2MmQyd79+5l8ODBHhpMnz6d9evXU6lSJeLi4sJ2YpRS8iUw2PF5MPCF2/oBIlJJROKBVsAKq43Lzc2lYsWKVp9WUZQIJjc3Vx3kojh+/DjVq1cHIC0tzTWlNMDZs2ddD/vCkbDmzZt79OA/cOAAderUAeCKK65g1apVFtUAFi5cyIoVK/jyyy8ZMmSIh627d++mXr16XseMGTPGlefqxBn5mzx5sqVTOe/Zs4cmTexBqhUrVrimlAY4ePAgnTt39qlBs2bNXDlEAFu3bnUNOXbppZeybt06S+wHWLx4McuXL+c///kPgwYN8rD12LFjXHjhhV7HvPbaa64cXidXXXWVSwNfEfJgsWXLFtq2bQvAqlWrWL58ucuu+Ph4xo8f79OWOnXqePwYXLNmDZ06dQKsH+ViyZIlLFu2jG+//Za77rrLKxffV0P4/vvve02a4/xBNmXKlLCbTrskOPp4LAPaiEimiNwLvAxcIyJbgWscyxhj0oG5wEbgv8BDxhjrerU4yMvLo0IFy0YRVRTlPMDqdiXsHORNmzaRkJAAwMSJEz2idv4if+DtIL/77rtMnz4dm83GsWPHGD58uGU94N0jrDExMR6R061bt/LYY4952ZKSkuIVoXRG0q12CNLT010aTJgwwSMCu2XLFtq0aePzuMIaTJ06lUmTJmGz2Th9+jT9+/cPiQbwe1TVZrPx4Ycf+rRjzJgxHhoUFBSEbLa69PR02rdvD9i/G+4R2OI0cB9ub+bMmYwePRqbzUZ+fj433HBDyDRwUpQGY8eO9dDg1KlTtGvXLqxnDCwOY8xAY0xDY0xFY0ysMWa6MeaQMSbJGNPK8f+w2/7jjDEtjDFtjDFfh8JmjSArihJoNIJcDO7O2TXXXOMRgd28ebNfx6Bw7uIHH3zgmrZ2/PjxXtHZYOLu2EZFRXmkiSxevJj09HSf+aPDhg1zjdCxb98+j0hzpUqVyMnJscT+jRs3ujS48cYbufvuu10alMY5mz17NmvWrCE5OZlJkyZ5RWeDRX5+Pi1btnRpcPbsWTp16oTNZvObvwveedTuUVwAEbEsRWHbtm20aNECgP/7v//jzjvvLNF9UDhKvGDBAlauXElycjLTpk2zbErzY8eO0bFjR5cGBw8edA1XOHLkyCI1cH9bsnbtWi6//PKg26uUjvz8fM1BVhQloGgOcjEsXryYu+66y+VQVqxYkbNnzwL2PF1/s4R9//33vPfee67jnK/GU1JSfEZng8XJkyepWrWqa/mLL75wOeqnT5+mT58+tG/f3qctrVq1YuvWrQBMmzaNqVOnuurTokULdu7cGXT7wT6u9I033ugR4XM6hrt37/Y7pfe6deuYMGGCTw0KR2eDyd69ez06Qv7vf/9j7dq1JCcn89e//pVmzZr5taNevXrs27cPgBkzZvDqq6+66tOgQQPXtmBis9mYNm0a3333nc/tx48f54ILLvC5befOnTz77LPYbDaMMR4aFI7OBpNdu3Z5jJX9ww8/uBz1+++/n5YtW/q1o1KlSq5c9lmzZpGcnOzSwH2boiiKEjnk5uZqikVRLF682GOUiksuucSVu+pr7Fcn7pHBU6dOkZCQ4Ipe+evdHwx2797tMYHDSy+9ROPGjUlJSWHt2rX07duXKVOm+LSlQ4cOrrq+//77LscaoGXLlmzbti3o9oP3KBXNmzd3OedFRY7cx6M+cuQIXbt2DYkGu3bt8tBg4sSJLg0qV67MP//5T792dOjQgfXr1wPw8ccfuxxrsE4DX1HumjVrcuTIkWKPdR+PesuWLdxwww0eGtx7770h0eDVV191OedRUVEsWLDArx3t2rVj48aNAHz11Vcuxxo8v4uKoihK5JCXl0fFihUtmywk7BzkwnmLubm59OvXj1deecVv3iL8nqc5YsQIVq5cSZcu3pNLWfF6vPAsc06npGfPnqxYsYKuXbv6PbZNmzZs2bIF+H14NOd1yMzM9BphIVj4yh297rrrmDhxIn//+9+L1KBp06Y888wzbNiwgT/84Q9Bt9UXhTXo06cPgwcPpnfv3qxdu5bLLrvM77FOB7mgoICePXt6XId9+/YxdOjQoGvg641HdHQ0iYmJvPzyy8VqEBsby8iRI/nhhx/KjQbXXnutq4Pd1q1badWqld9jnRrk5OSQlJTkocHhw4e5/fbbI3JGPUVRlPOZ3NxcYmJiLJulM+wc5BYtWnh0yJk0aRIZGRm8+OKLrpm0fJGUlITNZuPEiRNMmzaNF154weMhWrt2bQ4fLjyba+ApHDkD6NKlC6tWreLgwYPUrVvX77FLlizh/fff5+9//zvXXXedx3WYOHEiu3btCnr+qDHGS4Pp06ezbdu2Emnw6aefkpeXx7fffstDDz3koUGFChUs+eL7SgNp06YNv/zyC2fOnKFy5cp+j127di2vvvoqU6ZMYeDAgR7X4e2332bbtm1B1yAxMZGHHnrII8I6d+5cNm/ezOjRo/3m74Jdg+nTp1O5cmX++9//cscdd4TEmTx48CC1a9f2WFe3bl32799vH6A9yn/TtHPnTp5//nlef/11hg8f7qHBjBkzvMa1VkKDiITaBEVRIoi8vDwqVapEbm6uJecLKwc5Pz/f68HpjErm5+fTrl27IvMn4+PjmTlzJp988gkrVqzweIjGxsayZ8+eoNnu5Ndff6VBgwYe6/Lz8/njH//I+++/X6SzkpycTHZ2Ng899BDvvPOOx75W5VEfPXqUmjVreqxLSUlxTS2dkJBQpA2XX34548aNIy0tzWNoMoCGDRuSnR38OQ1Onz7t5QRXrlyZbt268cEHH5RIg+eee45x48Z57GtVDm92drbXZDJjxoyhQYMGREdHF6tBfn4+N998MytXrvSaVKdq1aqcPHkyaLa7U9iBqlmzJm3btmXatGlFavDiiy+SnZ3NqFGjvGwdP368peNRK4qiKNaQm5tLpUqVNILsi6NHj3qNEZyUlETjxo05c+YMtWrVKjZ/8uTJk5w5c4YaNWp4PESbNGlCZmZmUOx2Z/v27fTo0cPDAZgwYQJHjx7lwIEDRUa+UlJSSExMJDY21iPvEvzPkhZosrKyvJyzpKQkmjRpQk5ODjVr1izShqioKAoKCjh79mxINPA3hNibb77JkSNH2LdvX4k0aNy4scf4zxB6DeLi4jh58mSxGowdO9Y1nnjhVJnY2NiQaTB16lSOHDnCr7/+WqwGNWrUID8/n9GjR3ts69Onj6VjgiuKoijWkJeXR0xMjEaQfXHw4EFXpNKdMWPG+BxP1RevvvoqiYmJfP755x4P0SZNmlgSQfY1DXNKSgoJCQnFRv6SkpJYunQp7777bonrG2iysrJ8ajB27NhSadC+ffuQaOBvGLdAaWDFa2V/GowbN65EGjid/MmTJ3uNHxwuGnz++echuwcURVEU63GmWFgVQQ6rqY4OHDhA586dvdY7e+CXBH/7ug/fFUx69erFjh07PB7sSUlJpKenu5ZTU1OLLMNfHSpUqBD0AfqzsrLo3bt3iW3yRVJSElOmTKFXr14e62NjY/nPf/4TCDP9kpKSwpAhQ7wcq8IaFIe/+lrR0TMrK4sbb7yxxDaVZr8mTZqwePHiMttYFMnJyQwbNqxMGpTm+6YoiqKEP5piUQT+IsiBYPHixa6Z9YKFMSaos981bNiQvXv3BrxcdwqPIRxIVq5cyZtvvhlUDbp168aIESOC5lxVq1aNEydOBKVsJ0WNc1xWNm/ezKhRo4KqQfv27Rk5cmRQHVyrJmxR/KMaKIoSSMKyk56IXC8iW0Rkm4g8G4gyfeErBzlQFDWDWqA4evQotWrVClr5sbGxZGVlBa18gLNnzxITExOUsq3QYO/evTRs2DBo5Tdu3DjoGgSTMWPGsGfPnrDWoE6dOhw6dCho5SuKoijWE3bDvIlINPA2cAOQAAwUkYSyluuL4oZ/KgtWjALha/SBQBLuzplqEHpUA0VRFKU8Eo4R5C7ANmPMDmPMWWA2cEsAyvXAZrPx9ddfB+3VrxUjEAQzPQHsjkEwRyDwN/pAoIgEDYIdxVcNiseK++CSSy7RyUgURVEsxOoIciA66TUG3Lu9ZwJe08GJyHBgOED9+vWL7YhWmEcffZQDBw7w6KOPMmXKlHO3tgh+/fVXvv76a6pUqRKU8m02GxdffHGxdT9x4kSprw/YI+xr1649p2NLwqOPPkpmZmZANPBXx4yMDBYvXhy00SCWLFlClSpV2L9/f1DKP3PmDN9//z1NmjQ5Zx2LIpAa+CMjI6PEdp9LHX/88UdatWrF5s2bS29cCThw4ADLly+nWrVqASmvcB1HjBjB5s2bg6qBUnJsNhuPP/44b7zxhnbcVBSLmT17Nq+++ioTJkwI+v1ndQQ5EA6yL0/Gq3eGMWYqMBWgc+fOpvAIBsXx5ptv8uijj/Lmm296jX4QKDIzM2nZsmWR09yWheXLl3PrrbcW++BOTU095zqW5djieO211xg2bFhANPBn57p167jkkku8ZlkLFIsXL+amm24K6nBsaWlp9OrVKyhajB49mqeeeiqo98GSJUv4wx/+QIUKxTcP51LHxYsXB7UhzcvLY9OmTQG7PoXr+PTTT/PSSy8FVQOl5CQnJ7N+/XqSk5PVQVYUixk9erRr9tJg33/5+flUqVIlfHKQsUeMm7gtxwIBnw7NOTRYMAVo1KhRUGdyO3XqVMCiWr4I9uv3du3aBf0mCLYGENyxioOtQYsWLXj11VeDqkH9+vWDFmG3gu+++67YGRHLQlxcHB988IE6YyXAipEsUlJSqFOnjo6JrSghoF+/frRp08ay+69ChQph5SCvBFqJSLyIxAADgC8DUK7lWOGcBZNgjwLhb4KKQKIaFI1qUDyRoEEkUKFCBfLz80kK/34AACAASURBVIN+nqSkJC6//HL9waIoIaB58+aMGjXKsvsvOjo6fDrpGWPygBHAQmATMNcYU/IZF8oRwXYMgj3LmnMEgsLT7waKSHDOrNIgWL+mVYPiiQQNSoqIZIjIehH5SURWOdZdJCL/E5Gtjv/BG1uyCCpWrGjZg+zgwYOWnEdRFE9OnTrFqVOnLDtfdHR0WEWQMcb8xxjT2hjTwhgzLhBlhoIaNWpw/PjxoJQd7FfvYI+kPPnkk1x22WVlKsdms9G9e3cvW61wDII52YnNZgv6ZDBJSUkMHz6cq666qkzl+NPg119/pUGDBmUquzgaNWoUNA0WLlxoyX1Q1pE4/F1/gNOnTwetI+85crUxpqMxxjnN6LOAzRjTCrA5li3Hyleh6iArSmiw2kF2zhhsBWE1k16w8RfZ+uabb2jdunWJHuqffPIJbdu2pX379h77jxw5MuiTYID/YcY+//zzEtdhyJAhpKWledl6+PBhLrroooDZ6otKlSpx9uxZr/ULFiygTZs2xdpvs9no3LkzKSkpXg7O888/b4kG9evX9zlt+ezZs2nbtm2xdTDGMHjwYJ8a5Ofnl6jzXFnwN+36Z599Rrt27UqswdixY31qEOyJSACqVKlCTk6O1/qZM2eSkJBQbB1Gjhzp8/qHCbcAMx2fZwK3hsKIihUrWuIgG2M4cOBA0M+jKIo3J0+ejNgIcnCftGHIjh076N69OykpKa4I1F//+le2bt3KTTfdxIIFC4qMTD388MMu58K9Q9vDDz/M/v37g57I7pwk4ZJLLnGt++abb+jfvz+5ubnFdrLbtGkTCQkJVK9e3aetwX49Dr41ePLJJ/nll1+K1SA5OZnVq1fz888/k5eX51Hfe++9l2PHjlmiQeFxeL/++msGDRpUIg2WLVtGu3btqFWrVkg6HqWmpvLBBx/QvXt3Dzuffvpptm/fzp/+9Ce++uorv3UYOXKkXw3uuOMOzpw5Y9l90LJlS9e6r776imHDhpVIgxtvvJFt27Zxzz33BNXOAGCAb0TEAO87Rguqb4zZC2CM2SsiPqcfLevQm1D0cI1HjhwhNTU1qLOHgn12z/z8fGw2G9HR0QEvPxjDNZY3tI6RQSjquH37dqKioiw5b0ZGBnXq1GHt2rVccMEFQT8fxhjL/zp16mTOhcWLF5/TcaUhNjbWACYxMdG17q677jLVq1f3Wl+YEydOmHvuucfExcWZpk2bmkWLFrm2ff/992bhwoUlsqEs9dy9e7eZOnWqx7oOHToYwFSqVMl8/PHHfo9dtGiRiY2NNQsWLDB9+/Y1iYmJHnVITk4+Z7sKU1QdfWkwcODAEmkwZ84cEx8fbwYNGmQ6dOjgYf8XX3xhVq1aFRD7i2Lt2rXm008/9ahju3btXBrMnz/f77GLFi0yjRo1Ml9//bXp379/UDXwR2Jios/rPHDgQFOjRg2Pbb50/OCDD0yrVq1M3759zeWXX+5h/4cffmh27NgRVPuNMcZms3nZ1qpVKwOYmJgY8/XXX/s91qnBv//9b3PHHXeY9u3be9Rh1KhRZbINWGUC1JYCjRz/6wE/Az2Bo4X2OVJcOYFuk0eNGmXee+89k5WVdU7llobDhw+b2NhY89tvvwWlfCueO6FG6xgZhKKOo0aNsuS55DzXjBkzzOzZswNarr82WVMsCpGUlMSVV17pinAtWrSIxYsXk5ycTGxsLC+++KLfY1evXk3//v3ZsmWLVw5kRkYGzZo1C7L10KBBA3799VePdT169OCKK67gww8/5MSJE36Pdfb+Hz9+PCtXrvR6xWxF9BigV69edOvWzaXBwoUL+f77710aFBV9jImJYe7cubzxxhsMHjw4JBr4muq4a9eudO3alUmTJhWZPzVy5Eiys7MZM2YMaWlpIdHAVye3L7/8kqVLlzJy5MhiNRARFi5cyMSJE3nwwQc9NMjMzCQ2Njao9oN/Dbp168aYMWOIiYnxe+wLL7xAdnY248aN47vvviM9Pd2lQX5+ftCmuz8XjDHZjv/7gc+xz2y6T0QaAjj+h2TMPqs66Z06dYq6dety8uTJoJ9LUZTQElajWEQaffr04R//+Ifrof7UU0+RlZXF/PnzGT16tMcr28KsXLmSLl26+Myj3b17N02bNg2q7eA77++iiy5ixYoV1K9fnzFjxvjNv3zuuedo2rQpKSkpPPbYY7Rr187jh0KwO7g5ueKKKzxe4T/55JNkZmYyf/58Hn30UTp16uT3WOdEIxdddBFHjhzx2Hbo0KGg51AD1KlTh0OHDnmsa9y4McuXL6dly5Y8/vjjfq/jo48+SvPmzUlJSWHYsGF06NDBpcF//vMf/v73vwddA2dHw549e7rWPf300+zevZv58+dz3333FdkJ0flDJD4+nh07dnhsy8vLo2LFikGz3YkvB7lZs2akpaXRoUMHhgwZ4vc63nvvvbRu3ZqUlBQGDhxIq1atXBrMmzePmTNnlotppkWkmojUcH4GrgU2YB9mc7Bjt8HAF6Gwz6pOeqdOnaJOnTqW5kEqihIawm0c5IiiRYsWbNu2zbV8zTXXcNlll5GSkkKHDh1Yv369z+NsNhuTJk1i9erVgH26265du7oepKdPn6Zy5crBrwCeUUbjNlB/cePDxsbGuqZrHT58OHfffbfLSX322Wct6eAG3hp0796dK664wqXBhg0bfB5ns9n44IMP+P777wH7j5Ju3bp5ODNWRGBFxOO65+bmujrWjRo1qsjrWLduXT788EOSkpIYNmwY999/v0uD559/nt27d1uiQVxcHLt27XItX3nlla43K61atWLr1q0+j7PZbMyYMYNvv/0WgJ07d5KYmGi5Q1m9enUPh+nYsWOunLWxY8cW2VGwZs2azJs3j6SkJIYMGcKAAQNcGowZM4YdO3aUl8579YEfRORnYAXwb2PMf4GXgWtEZCtwjWPZcqyOIKuDrCihwaq3yxCGw7xFEi1btvRwzipXrszq1atJSkqiffv2bNy40edxhZ3PtLQ0VqxYEZIH6fbt212jB8yaNYvZs2djs9mKHSd58+bNtGnTBoCqVat6PHD69u3LxRdfbEmnsZYtW7J9+3bXcp06dVixYgVJSUlF/kgpPFLIihUrWL58eUg02LFjByNGjMBmszF16lTmzJnjoYG/6+iuQeF0mRtvvJGOHTtapoH7fdCkSROWLVtWrAZ/+9vfvDRYtmyZa9n9h0MwKTyk3zvvvMM//vGPEmmwdetW15uitm3bevxQuPrqq10/1kKNMWaHMeZSx1974xhi0xhzyBiTZIxp5fh/OBT2WRlBrl27tqZYKMp5gKZYhJA6dep4DRnk/HVUtWpV0tPTfY6PmpycTJMmTVwPzpdfftmVrmA13333nSt3NSUlhW3btrl67T/33HN06NDB53Hbtm3zSCFxj/7FxMSwZMkSS2bLadasGTt37nQtu/863bhxI+PHj/cZkXzqqado1qyZ65qPHj2a+Pj4kI0E4cxdffXVVz3mqv/LX/5C9+7dfR63b98+6tev71reuXOn6/tWqVIl1w+FYOPuIBcUFHjk3WZlZfHkk0/61OCBBx7wSEl49tlnXekKeXl5QRllwBeFf7C+++67bNiwwaXBPffcQ+/evX0e6z7OcXR0NNnZ2S4NatWqZZkG4Y6VEWRNsVCU8wONIIcQd2fs9OnTVKpUyWN7amqqz/FRW7ZsydixY10PzptuuolBgwaRlJTEN998Y0nuqJP77ruPSy65hJSUFFfHJKfD0rx5c6+8UCdnz571qO+PP/7oiv4dPXo06MM1OXHP4T5w4AB16tRxbSsqRSE2Npa33nrLpUH//v258847SUpK4quvvrI0d7R///4uRzExMZHExESXBs2aNfOIShbG/Tu4dOlS1/fNqvxdsKd67N9v79u1bds2WrVq5do2ZswYvykK9evXZ+bMmS4Nhg4d6kpRmDt3Lh999JElGqSkpBAXF8fTTz8NQM+ePT008JUn7o9169aF85jIIcPKCLKmWCjK+YFOFBJinFG7J554glmzZnk80AuPsOBkx44dNG/e3KssY4yrk5lVD9j77ruPv/zlLyQlJREfH09aWprLYSnKQS7M2LFjQxaBdY6F/PTTTzNt2jSXBkW9HvenAdg7me3atcsyDQYPHswdd9xB7969iY+PZ+nSpeekwd/+9jePiKxViIjrPkhOTub1118/Jw2io6MpKCgA7D9utm/fbokGSUlJzJw5k+rVq3P27FlatWpVIg18pYD07duXdu3aMXr0aEtz7cIdqyPImmKhKJGPRpBDzPfff09aWhrTpk1zvRp3UniEBSe+nLOzZ89y+eWX06hRI7p27WqZk9OoUSOys7M5ePAgtWvX9tgWFxdHRkaG1zGLFi3yinL379+fAQMG0Lt3b8sdA2eayMcff+x6NQ64Oq+5j7DgZOfOnV7DuB08eJAuXbrQuHFjj+H7gk1CQgK7du3yir6Cf+fs66+/ZsaMGR4a3HPPPfTr14/u3bt7vc0INosXLyYtLY3PPvuMtWvXemgwdOhQn2kG+/bto149z3kp9uzZw5VXXkmTJk18/rgMFp06dWL16tWsXbuWyy+/3GObPw3mzZvn9aP4tttuo1+/fnTo0MGrboo3BQUFiIhlEeScnByNICvKeYKVOcg6k54P3njjDR555BHatGlDTk6OxwO9WbNmZGRkeDmee/fupUGDBh7rUlNT+emnn3zOrBZstm/fzsUXX0zVqlXp0KGDy5nxN5Wz+zTM7o5PdnY2TZs2xRhDz549Lcu9fPnll3n22WdJSEjg+PHjHho0adKEzMxM4uPjPY7JycmhatWqHutWr17NypUrLdcgOjqa3bt3k5iYSM2aNYmNjXVdO/f0BXdeeOEF1ygVzn1FhIyMDJo3b07FihW58sorLdNg1KhRjBkzho4dO3Lo0CEPDS688EKOHj3q87jCP6bWr1/PmjVriI2NZc+ePUG12Z3q1auzZs0aJkyYQN26dalatarr2jVr1oz58+d7HZOSksLOnTs9NKhQoQJbt27l0ksvpWrVqrRt21ZzkIvAmQpkdQQ5PT096OdSFMUbqzpfg0aQQ85tt91Gjx49XFNDuz8MnQ5yYYwxXhMIjB8/ntjYWAoKCiwf5mrt2rXs27fP9bB3x5m+4G7TkCFDaNu2rVd076effiIzM5OsrCxLczDvuOMOLr300lJp4IuXXnqJhg0bAliuwdatWzl48KCrk6QTEfGpQf/+/X2OFLJu3Tr27t1r2RBvToYNG0arVq3Yu3evTw2KyqN2Z+LEidSrV4+oqCjLNVizZg2HDx9my5YtHtcuLS2Nd955x8uem2++2edIIT///LPf+0nxJC8vjwoVKug4yIoS4ZjfZ+u0jKioKMvOWSYHWUT6iUi6iBSISOdAGVUeyMjIYP369V4Pw9I4Z0lJSTRt2pS9e/da/lB96623SEhIICEhweth76ujYb169ZgzZ45XZOy1117zW06wOXTokMerfSfx8fGl0iA+Pt5yBx/sk36URoNatWrx3//+10uDSZMmhUyDnJwcVq1aVSIN/DVaSUlJtGzZ0nIHH+yjV/i6dv7GBK9evbpHrrKTyZMnh0yDcCM3N9fyCHLt2rXVQVYUi8nNzS1yVtJwp6wR5A3A7cCSANhSrhgzZoxHr3cnF1xwAcePH/dYZ7PZ+PDDD31Gx5yjGFj9UE1KSiI9PZ309HSvh/21117rlY+bkZFBXFxcqcoJNv40iI2N9UqXWLhwod+RQkKlQadOnfxeO1+dPbOzs13RbnfKowa+fih+/vnnfkepKG/3gb+Ohr7SdIoqR/HG6ghyQUEBFStWtDySpSjnO6dOnaJatWpERUWRn58fanMCTplykI0xm8DaWVSsIikpqcQPQn/5u6Utxyr69OnDU089Rdu2bV3rfvvtNy688MIQWuWNv2vn68H73HPPuYYeCwcNunbtyuuvv07dunVd63yl6YQaf9euVq1aHD7sOf/Eiy++6JW/W1w5oSIpKYn777+fHj16hNqUiMMZQbZySlhFUazn5MmTVK1aldzcXHJycqhevXqoTQoolnXSE5HhwHCwj5Wamppa6jJOnDhxTscFmmXLlnHxxRczdOhQOnXqRGJiIr/++iu33357QOwLdj2PHDnC/PnzufLKK13rMjIyLL22Za1jYQ2uuOIKjh49GjANAkFRdTxx4gSffPIJCQkJrnVWa1BWli1bxty5c7nvvvvo1KkTl156KTk5OeVKg6LIyclh7ty5xMbGutb50qC8tDvhgjOCbFWKhUaOFSU0nDp16vx2kEVkEdDAx6YXjDFflPRExpipwFSAzp07m169epX0UBepqamcy3GB5u677yYzM5PPPvuMJ554ggMHDnDvvfdy8cUXB6T8YNezffv2zJkzx+Mc3377raXXtqx1LKzBli1bGDVqFI0aNQqckWWkqDo2aNCAtWvXemxfvHhxufh+l5TCGixbtoypU6e6ZqEr78TExHD8+HHXNS8oKPCpQXlpd8IFjSAryvmBM8UiNzc3IvsAFPs+1xjTxxhzsY+/EjvHkUbfvn3p1KmTK39xx44dXkOOlWcKT6cdjhGY6667zmNsaV/D7JVnCk+n7WvWxvJOr169PDqtuU/RHA4UHgt53759YfUdKq9YHUFWFCU0OFMsqlaten46yIo3t9xyC6+88oorp9L5KypcKJwz/tlnn1k2BXCguOGGG3j//fddGpTH/N2iqFy5MmfOnHEtz54922uSkPJOz549GTVqVLnKLS4N9evX59dff3Utf/LJJ7z11lthpUF5xOpOeoqihAZnioU6yD4QkdtEJBPoBvxbRBYGxqzyTevWrdmyZUuozQgYo0aNIiMjI6zGd400DV5++WW2bt0adhpYOfFHoCn8Q3Hy5Mls2rQprDQoj1g9zJuiKKHh5MmTVKtWTR1kXxhjPjfGxBpjKhlj6htjrguUYeWZhg0bsnfv3lCbUSZ27txJYmIiNpuN3r1707lz57Aa37Vly5Zs27Yt1GaUCffJQrp3727pVNiBoE2bNi4H+ezZs1SsWDHEFpUedw26detm6VTYkYpGkBXl/EAjyIoX7pGnvLw8oqOjQ2jNubF8+XKWLVtGcnIyNWvWZMWKFWH1qrxKlSqcPn0asI/KUatWrRBbVHp++OEH12QhsbGxLFu2LKw0qF+/vmuot927d/scR7u8s2TJEpcG8fHxpKWlhZUG5ZFQRZC3b9/uNTuloijBY+XKldx1112sX79eHWTFm1mzZoVd/i7ACy+8QMuWLUlJScEYE9ZjWc+aNYv3338/7DR44oknXNN7h2NHSffvzJw5c3jllVfCToP777/fNb13OGpQHrEyguw+SdOPP/7oNTuloijBY/bs2axevZpXXnmFZ555Juza/+JQB/kc2b17N926deO5555j27ZtYdcoDxo0iAEDBtC7d++wdY6daSJjx45l8+bNYafBsGHDuPPOO+nevXvYjWDhZO/evXTv3p1Jkyb5nJq9vDN8+HDuvfdeOnToQL169UJtTsAQketFZIuIbBORZ608t5UR5Mcff9w1SdOUKVO46KKLOHr0aMQ9qBWlvDF58mSio6NJSEigQoUKbN26lZEjRwbtfPn5+Za/rVcH+RxZvXo1y5cvJzc3NyRT6JYVp1P8r3/9i3/+859h+UBZtWoVy5YtIz8/Pyw1qFSpEmfPnmXmzJlh+RYCYNOmTaSlpWGMCUsN6tSpw6FDh5g5c2ZYvoXwhYhEA28DNwAJwEARSSj6qMCxbNkyHn74YV5//XXeeecdFi1aFPBz2Gw2WrVqRUZGhmuowWuvvZYGDRqwceNGbrzxRuLi4mjfvn1EaKooocZms9G+fXvatWvHwIEDefLJJ8nMzKRmzZpMmTKFuLg4Nm3aFLR7bs6cOUyfPp3Zs2czbdo0S+5ry2bSizTeeOMN+vXrR1RUFCkpKWGZt5iVlcWECRPIzc31OT1weeett96iX79+VKhQIWw12LlzJy+//HLYavDII48wbtw4KlWqFLYabNmyhfnz54etBj7oAmwzxuwAEJHZwC3AxkCexGazce+991KtWjUGDBjAjBkzOHLkCMePHycvL4+xY8dy/Phx/vjHP/KnP/2JVatWkZeXR1RUFCLi+pFevXp1hgwZwowZMzhx4oTXeapUqcKtt97KnDlzOHHiBHl5ea7/ADVr1nRpNnnyZG699VZOnDjB7t27Abj++uupVasWl112GevWrXNFtUXENTRk1apVuemmm/j3v//t6tvg5OzZs9SqVYs///nPfPrpp+Tk5LiOd1KtWjXuuOMO/vnPf/rMxaxWrRp33XUXs2bN4uTJk671zjKqVavG3XffzUcffeSx3Un16tUZPHgwM2fO9HmNSnIdi9p++vRp6tSpc87Hl4ft4VLHonSsWrWq1/fEPfWrWrVq9O/fn9mzZ3t8z5z7nD59mosuuojbb7+dTz/91Oc+VatW5eabb2b+/Pnk5ORQUFDg2qegoIBKlSrxhz/8gSVLlpCTk+M67uTJk657bvfu3eTm5lKjRg1Xu9+4cWN27drF0aNHGTBgABUqVKCgoIDo6GiioqJc931x18jZnsyaNcvVluTm5rrO/49//IOcnBz69+9PtWrVKCgoICoqiurVqzN58uSAtt8Siry7zp07m1WrVpX6uPI2o1WHDh3YsGEDiYmJLF26NGDlWlXPLl26sHLlSmrUqMHnn39uqWMQqDq2b9+ejRs3BlyDQFCSOl5xxRWsWrUqJBoEgtTUVB544AG2bNlSLjUoCZ07d2b16tV+NQj0/Sgiq40xnQNWoHf5fYHrjTH3OZbvBroaY0YU2m84MBygfv36nWbPnl2q84wYMYL09HQAr3SKKlWqMGjQINfDrHLlyl6OpzvF5Sv7SteIiYmhYcOGPPzww3Tq1Mm1fvXq1bz11lvk5ORw7Ngx13jjVapUcTm3voiJieHs2bOlsiGQ24u7BiXJ6S5rGeG+vTzYEOztJUldKm6f4r7r/u5X5z13/fXX88MPPzB06FDXvee875zs2rXLb/nnWscqVaowYMAAVqxYwfHjx10/gp20b9+eKVOm+C3XH1dffbXPNlkjyGVg0qRJJCcnh91rZScvvfSSy/5wc8ycTJ48Oaw1ePnll8Neg7fffjusNZgwYULYa1AIX50KvCIhxpipwFSwBy1K+yPgzTffdEWQ3SNC7pGcfv36kZyczK233hrQqFxR0aJevXrxxBNPAPYo9yOPPAIQ0dHVspYRDnWMlAhyMLcHs47FRWh93XfBOH90dLSrY677OapXr86bb74Z2OCiMcbyv06dOplzYfHixed0XLhxPtRT6xgZaB1LD7DKBLF9xT5x00K35eeA54o6Rttk/2gdIwOtY2QQjDr6a5O1k56iKEpksRJoJSLxIhIDDAC+DLFNiqIoYUVIcpBF5ADgP0HFP3WAgwE2pzxyPtRT6xgZaB1LT5wxpm4Ay/NCRP4ITAKigQ+NMeOK2V/bZP9oHSMDrWNkEIw6+myTQ+IgnysissoEsXNLeeF8qKfWMTLQOp7fnA/XRusYGWgdIwMr66gpFoqiKIqiKIrihjrIiqIoiqIoiuJGuDnIU0NtgEWcD/XUOkYGWsfzm/Ph2mgdIwOtY2RgWR3DKgdZURRFURRFUYJNuEWQFUVRFEVRFCWoqIOsKIqiKIqiKG6EjYMsIteLyBYR2SYiz4bankAhIhkisl5EfhKRVY51F4nI/0Rkq+N/rVDbWRpE5EMR2S8iG9zW+a2TiDzn0HWLiFwXGqtLh586vigiWQ4tf3KMRevcFo51bCIii0Vkk4iki8ijjvURo2URdYwoLYOBtsnhg7bJkXEfa5tssZa+ptcrb3/YB7vfDjQHYoCfgYRQ2xWgumUAdQqtmwg86/j8LDAh1HaWsk49gcuBDcXVCUhw6FkJiHfoHB3qOpxjHV8EnvSxb7jWsSFwueNzDeAXR10iRssi6hhRWgbhummbXA5sLUWdtE323Ddc66htsoVahksEuQuwzRizwxhzFpgN3BJim4LJLcBMx+eZwK0htKXUGGOWAIcLrfZXp1uA2caYM8aYncA27HqXa/zU0R/hWse9xpg1js/HgU1AYyJIyyLq6I+wq2OQ0DY5jNA22YtwraO2yd4ErY7h4iA3Bva4LWdS9AULJwzwjYisFpHhjnX1jTF7wf5lAeqFzLrA4a9OkabtCBFZ53jd53zNFfZ1FJFmwGXAj0SoloXqCBGqZYCI5OugbXJkaRuR97G2ycHXMlwcZPGxLlLGp+tujLkcuAF4SER6htogi4kkbd8FWgAdgb3Aa471YV1HEakOfAo8Zoz5rahdfawLi3r6qGNEahlAIvk6aJvsTbhqG5H3sbbJ1mgZLg5yJtDEbTkWyA6RLQHFGJPt+L8f+Bz7q4F9ItIQwPF/f+gsDBj+6hQx2hpj9hlj8o0xBcAH/P6aJ2zrKCIVsTdSHxtjPnOsjigtfdUxErUMMBF7HbRNjhxtI/E+1jbZOi3DxUFeCbQSkXgRiQEGAF+G2KYyIyLVRKSG8zNwLbABe90GO3YbDHwRGgsDir86fQkMEJFKIhIPtAJWhMC+MuNsoBzchl1LCNM6iogA04FNxpjX3TZFjJb+6hhpWgYBbZPDn4i5j/0RafextskurNHS6h6K5/oH/BF7b8btwAuhtidAdWqOvfflz0C6s15AbcAGbHX8vyjUtpayXv/C/gokF/uvu3uLqhPwgkPXLcANoba/DHX8CFgPrHPctA3DvI5/wP6qah3wk+Pvj5GkZRF1jCgtg3TttE0Okz9tkyPjPtY22VotdappRVEURVEURXEjXFIsFEVRFEVRFMUS1EFWFEVRFEVRFDfUQVYURVEURVEUN9RBVhRFURRFURQ31EFWFEVRFEVRFDfUQVaCgojUFpGfHH+/ikiW23JakM55k0AqFwAABupJREFUmYhMC0bZxZy3mYhsKH5Pn8cucpsyU1EUpUyISL5bW/uTY7reiMG9nReRm0Xk2VIeP0NE+p7juWeLSKtzOVYJPyqE2gAlMjHGHMI+JSQi8iJwwhjzapBP+zwwNsjnCDQfAQ8C40JtiKIoEUGOMaajv40iUsEYk2elQQHG1c4bY77E2glq3gWeBoZZeE4lRGgEWbEcETnh+N9LRL4Tkbki8ouIvCwid4rIChFZLyItHPvVFZFPRWSl46+7jzJrAJcYY352LF/lFkFZKyI1RKS6iNhEZI2j/Fsc+zYTkc0iMk1ENojIxyLSR0SWishWEeni2O9FEflIRL51rPdqJEUkWkRecdi5TkTud6xvKCJLHPZsEJEejkO+BAYG4TIriqIAICJDROQTEfkK+Max7im3dmq0274viMgWx9utf4nIk471qSLS2fG5johkOD77a/N6OY6Z52hfP3bMkoaIXCEiaSLys6O9ryEi34tIRzc7lorIJYXqUbidHyIiUxyfZ4jIZEe5O5xRYrEzRUQ2isi/gXpu5XVyPINWi8hCRztdwVGXXo59XhIRZwDje6CPiGhw8TxARVZCzaVAO+AwsAOYZozpIiKPAg8DjwFvAm8YY34QkabAQscx7nTm96knAZ4EHjLGLBWR6sBpx/rbjDG/iUgdYLmIOKMPLYF+wHDs0+jegX1Gn5uxRyxudex3CXAlUA1Y62hw3bkXOGaMuUJEKgFLReQb4HZgoTFmnIhEA1UBjDFHxD5FZm1H1F1RFKUsVBGRnxyfdxpjbnN87obduTwsItdin5K3CyDAlyLSEziJfdrwy7D7B2uA1cWcz1+bh6Oc9kA2sBToLiIrgDlAf2PMShG5AMgBpgFDgMdEpDVQyRizrtC5CrfzhWmIvd1uiz34MA/7tMRtgA5AfWAj8KGIVATeAm4xxhwQkf7AOGPMPSIyBJgnIo8A1wNdAYwxBSKyDftzq7jrooQ56iAroWalMWYvgIhsxxHdwD6l5NWOz32ABEfwAeACEalhjDnuVk5D4IDb8lLgdRH5GPjMGJPpaBDHOx4EBUBj7A0m2B8k6x12pAM2Y4wRkfVAM7dyvzDG5AA5IrIY+wPmJ7ft1wKXyO85bhdifxCt5PdGeb4xxv2Y/UAjQB1kRVHKir8Ui/8ZYw47Pl/r+FvrWK6OvZ2qAXxujDkF4BZAKAp/bd5ZYIUxJtNR1k/Y29JjwF5jzEoAY8xvju2fACNF5CngHmCGj3MVbucLM98YUwBsFBFn294T+JcxJh/IFpFvHevbABcD/3M8W6KxT1WNMSZdRD4CvgK6GWPOup3D2V6rgxzhqIOshJozbp8L3JYL+P37GYW9kcopopwcoLJzwRjzsiO6+0fskeI+2CO/dYFOxphcxytC5zElsQPsc8RTxLIADxtjFhY20OGY3wh8JCKvGGP+4dhU2WG/oihKsDjp9lmAl4wx77vvICKP4d2mOcnj97TMym7rfbZ5jhQF93Y1H3tbKr7OYYw5JSL/A24B/g97tLgwHu28D9zPJ26ffdVJgHRjTDc/ZXUAjvJ7EMWJttfnCZqDrIQD3wAjnAvueWpubMKeJuHcp4UxZr0xZgKwCvsrtwuB/Q7n+Gog7hxsuUVEKotIbaAX9siwOwuBvzgixYhIaxGpJiJxjnN/AEwHLndsF6ABkHEOtiiKopwLC4F7HOlniEhjEakHLAFuE5EqjnzfP7kdkwF0cnzuW6gsrzaviHNvBhqJyBWO/Wu45fROAyZjf7N42MexHu18CVkCDHDkSjfk9zeTW4C6ItLNYUdFEWnv+Hw7UBt79HmyiNR0K681kF5KG5QwRCPISjjwCPC2iKzD/p1dAjzgvoMxZrOIXOiWevGYwwnOx55z9jX214dficgq7GkRm8/BlhXAv4GmwBhjTLZ4DqM0DftrxDUO5/cA9vzlXsBTIpILnAAGOfbvBCwP817liqKEEcaYb0SkHbDMkV5wArjLGLNGROZgbx93Ye+U5uRVYK6I3A1867beX5vn79xnHfm+b4lIFezR2D7YRzpaLSK/AX/3c2zhdr4kfA70xp629wvwnZsdfbE7wBdif7ZMEpF9wMtAkjFmj9g7Ab4JDHakbeQ40wKVyEaM8fc2RVHCCxF5HDhujAnKWMgShOHqRORN4EtjjC1QZSqKogSCYLR5xZyvEZAKtHXkEvvaJ6jtfFE4zv2bMWa61edWrEdTLJRI4l08c9DCgQ3qHCuKcr4jIoOAH4EX/DnHDkLZzh8FZobo3IrFaARZURRFURRFUdzQCLKiKIqiKIqiuKEOsqIoiqIoiqK4oQ6yoiiKoiiKorihDrKiKIqiKIqiuKEOsqIoiqIoiqK48f8nSXKEE/M0UwAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.dft.exercise_missing_time(show_result=show_result) " ] @@ -1029,15 +694,8 @@ }, { "cell_type": "code", - "execution_count": 13, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:47.232396Z", - "iopub.status.busy": "2021-09-23T10:12:47.231748Z", - "iopub.status.idle": "2021-09-23T10:12:47.233808Z", - "shell.execute_reply": "2021-09-23T10:12:47.234499Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -1047,65 +705,9 @@ }, { "cell_type": "code", - "execution_count": 14, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:47.264475Z", - "iopub.status.busy": "2021-09-23T10:12:47.255732Z", - "iopub.status.idle": "2021-09-23T10:12:48.650683Z", - "shell.execute_reply": "2021-09-23T10:12:48.651381Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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skb+/v+ntvPfee9iyZQuSk5PRpk0b05MAoqOjsWPHDqfEtyR+4+LikJKSwr2e5DEGgIceeghxcXFcQtZisWDVqlUYO3asaS91aGgoSktLuQUFEaFJkybIy8vjat+/f3/Ex8fjjTfeQJs2bbiFeZMmTbjEb25uLpo3b861TQmLxcIlKAsKChAVFYUrV64Yts3Pz688d3qsW7cOrVq1wuDBgw0fbgoLC9GxY0euvk5LS0O/fv0wefJk3fPP45l+9tlnERQUhNdee82w7dGjRxEfH6/qgZLIzc1Fx44ddYVDWVkZmjRpIry6Aq+xYsUKPProo7ptmjZtavh7vHLlSuW1ePTo0Rg9ejQ6dOig2vbYsWN45JFHEB8fj2eeeQYTJ040DPeS5tToMXjwYHz11Ve6bQQCX6Vait9ff/0VN910k90yV18Ft2jRgntCk8TSpUuRmpqKxMREp8SvK0jit0GDBrh06RL3enl5eWjSxFrt75ZbbsGCBQu4hOzZs2dNx6LJz0loaCi6devG/ZrbTAx1dHQ0tm/fjgkTJnBlGSgvL4efnx+3+M3JyUGLFi0qbePBYrFwe355hfWJEyfQtm1bw3YTJ07EqVOn0LRpU0OPUGFhIZo0aYKKigrD7f7444/4xz/+geLiYsO2derUwbVr1zS/79SpE6ZNm8YVR52RkYHY2FhdG3Nycgw9v9Kx6tklEFQVFRUVKC4uNhSV99xzj+6E5NLSUrz66qv417/+VRk+8cwzz2DBAvVow8WLF2P69OnYvn07xo0bh2HDhuFf//oXvvnmG803Q2vWrMF9992na2eDBg1ARNxzIQQCX6Jait+lS5ciMTGx8kcbExODP//806VttmzZEqdOnTK1zq233orY2FhMmTIFrVu3dkn8BgYG4vLly9ztL1y4gJCQkMrPvKJM7vlt3Lgxd8zrhQsXEBQUVLkvnv0VFRVVTnz6+uuvqzyND288bFpaGmJiYri9y5L4DQ8P546vbtasGVcow7lz57i8uQC/+H3mmWfQvn17fPDBB4Ze+oKCAoSHh3PtPzc3Fx06dDAUv0SExo0bo6CgQLNNcXEx+vTpg8OHDxvulzGG0NBQ3ZtsTk6Ooee3oKDA8AGuoqLCpwsNCKovP//8M/r162fYrl27djh+/Ljqd2vXrsX111+Pfv36oVWrVpXLGzVqBH9/f4fr+fHjx9G6dWvUq1evcll0dDTee+89vPTSS5pvho4dO4aOHTsa2vr4448L76+gWlItxe/69evtYjuvXbuGe++911Qw/5UrVypDJwDnxG90dDTmzp2LhIQEhIaGcnnEtGjevDlyc3OdWvfKlSuIi4vjOn6l+OXxfAJWQSOJgpCQEFy4cMFwnfz8/Eovx4QJE7hyEpeWlro9U4AS6cLOM/kJ+Ev8RkZGcr8d8Pf35/IwlpeXIyAggGubmZmZdjc8LTp27IiPP/6Yy6NfWFjIJX6Li4sREhKChg0bGp57xhiaNm2qO7akh7f69evj4sWLmu0uXbqEgIAABAcH6/6+zp49i5iYGF3xe/bsWUREROjaLtklBLDA3fz000+4/fbbudrWrVtXNTThueeew+nTpzFr1iyH75555hl89tlndssWLlyIoUOHOrRt2LAh5syZg5YtWzpcky9evFg5l8WI9u3b4/jx426dhCsQeIJqKX6lGE/pRzt//nycOHHClFdR/iobcE78uoLyYtGiRQunxe/69euxf/9+ruOXC4AmTZo4le3AyKsnkZ+fj9DQUADAwIEDuTJqyAWe1g3AVY4dO4YOHTpwe4qlPmvRooVhHG9Veg6vXbsGf39/EJGusJaEKmA8+YxX/L7//vtYvnw5Nm/erNtnV69eRd26dQ296pKNd955p+7s9pSUFLRr187wgYsxhqCgIJSWlmq24fH8njt3DmFhYeJmLnArpaWlCAwM5J44e8stt2Dbtm12yw4dOoSBAwdqTvxs0qQJysrKKh8As7OzYbFYUL9+fdV9PPbYYxg3bpxD2NXGjRtxxx13cNkJAPXr10fXrl3dnmpNIKhKqqX4lWI8JSH19ttvm85AkJ2djcjIyMrPRjdOd1NUVGQX+9W8eXPTMccSr732GmJiYriOv6KiorIAQ1hYmFP5THnDJeSe37p163JNKJSLX95JY2a5ePGiae9ynTp1uOLCCwoKDL2LagQEBHBNegOsrzj1PJzFxcWVDx1GlJWVISAgAPXr19eNHV+4cCF+++03wwcsSUwbTdq5cOECgoODUVRUhJdeeknzxrl792507NjR0PMLGAt9nnPD+zAgEJhh6tSp+O6777gFolL8Xrt2DZ9++ilmz56tO/FzxIgRmD9/PgBriMSwYcN09zNy5EjMmzfP7mFvz549uPHGG7nsBIANGzY4VaRJIPAm1VL8KklISDCdp1cpft0Fr8fozJkzdrGeZjy/RUVFduJm4MCBGDVqlOmsEX5+flwTnZQ4I355yczMrMwJ3KpVK8N0Z5700PGEpkgFLsxiJBblxxkeHq770FJUVFTp+eXNYmJULGbAgAG6qcYkJIFpdDxSeMvkyZORnZ2teeM8f/48goODuUNt9OAJe5A8v0YPAwKBGZYuXYqDBw9yC0RlFqPPPvsMw4cPN6wcGRkZifPnz+Pw4cMICwtDgwYNdNvXrVsXgwYNwooVKwBY39z4+fkZ5umWM23aNERGRrq15LpAUNVUO/F77do11QuAWRHkqvi9du2awwXCTK7fvLw8O5EUHh7OFUoA/JXpQSIoKMijM26rUvzm5OTguuuuA2DNw2xU6KK0tLRyIh4Pe/fuxaJFiyo9MGZCFAIDAw3DMOTit2HDhrrnRT5mmzVrplvo4vTp05X9YjTxTh72EBISousxlY7fKKRD+bZFi8LCQkRERBiOZymjx5QpUzTf2iQnJ2Px4sVISUlBcHCwy+L3ypUrdhN/1JDEL288uEBgRFlZGW677Tauh0c50sS3U6dO4ezZs+jWrRv3er179+a+v/Xr1w8pKSm4cOECfv75Z9x6663cNgJW59M777xTJc4kgaCqqHbiNz8/vzJVlyvIBYIzSDd5OWbSnSk9v2ZEmFL8VvXkHKXQj4iI4BK/V65c4Z7MJSEPy7BYLIZx2MrX1EaZKObPn4+srCxTr+jMPFjJxa9R2EZhYSGCg4MBANddd52u+JVnejDy/MrzYBuJX+nYzEzm00PKHsEbT52QkKCZkWLixInIysrCokWLdMMezI4zvVhyaTwZ9bFAwMu2bdswZMgQrodHOXfffTfWrl2LWbNm4f/+7/+41/vkk09QWlqKZcuWca/z8ssvY/bs2di6dStXRgol9957L9asWWN6PYHAW1Q78Sv3gMkhItPeX6VoNJNuTO31thnxq/T8mkEpfs3gjFA+f/48wsLCKj+HhoZyFQpQng+efcvb8HhaJU+dRIMGDXSzBzz44IO4/vrrKz0wRtW8pJnPEkZjTCl+9XL9nj59uvIByig12urVq/Haa68hOTmZS5hJ/cibhcQo7IEXZ2Oe1Xj99dfRpk0bDB06VDfswWwREr0qb8LzK3A327Ztwy233GJ6vaZNm+Lrr7/Ghg0bsHPnTu71pkyZgvj4eNUsD1q0aNECeXl5mD9/Pn7++WfTtjpT4VQg8CbVTvxq3ejccbPiLUwA2KcMkzAjfnniD/XWVc5a5xH+ZWVlqFu3run95efn2+3PWU8zj41mH2CUnl+jcRAVFYWZM2dWemAiIiJ0X8/n5ubaZQUx4vz585WhHpGRkbrjKTc3t9J2o7CHFStWYN++fUhMTDTllQwJCeEqlxocHOyW0Bm1NyLO0qNHD0yYMAFxcXG6nl+z56hRo0aaY+TSpUuoX7++05NBBQI5jLHKSaXOcPXqVe4y4BIJCQnYvn074uLiTO1r7969yM3NdXrimjOFogQCb1HtxK+W59dIPPBgJt2Zmud2z549mD17NteMXiltlVmSk5OxYMECbNq0yfS6WlXajASn2npVEWqxceNGLFy40K7/0tLSNKsQAY6eXyPxW1JSYheHbFTlTZkSz6hyGfBX3xh5U3NzcyuFYr169XSzPcjT+5l50NMLe1BW0nPH5MGSkhKn8jSr7VvKCAHovwVQniMjePrPTEETgUCLP/74Q7PsMA8zZswwHSvsLFOnTnVpXwMHDsTq1avdbJVAUDXUSvGrdZNv2bKlYXYBCWXMLgAkJiaajieVw5PuSmsfPGJUzVvNM4vemdLGatSrV093Bv2ECRMcjm3Lli2aVYgAq6fRjPgtLS21y5RhVvw2a9aMuzBIvXr1dMNo5OLXCPmEM94MDoC++JWLSzMQkW6WELMPRlr9xGtfTk6O3dsgIxGvF/YgbyPEr8BV1q5di7vvvtvp9SUvrtlMPt7YF092HoHAV6h24vfy5cuqM7Z5y8kC2nGJZsIezp0755DJQG/mOg88qbT09mF001cTvzxV3pwRv2q2GHnTRo0ahXbt2tkd2+23347evXtr9um5c+dMhT246vk1+2rv5MmTmp7r0tJSzQT07kJP/CpDRrRE69WrV+3eUvCGSAQGBnLlLtbK5MArfuW/Z62Yb/mkTR5hyxsuIhDocfbsWbdM0K4uhISEcM0HEQi8TbUTv1oYzZaXo5XmzOjVsxzGmEOqM72Z6zzw5PrV2ofRRC9AW/waZW5wJj65pKTEQbgYiY727dtXlouWiIuLw+rVqzX7VPma3d2e3/Pnz9u156nyJsfIc13V6E14Uz4EpqWl4cUXX3QQ6lLJXwleYWjUtxKuil/5bzE0NFTVNvmkTb2YXwkzeU4FAjWUIVm1gXvvvRfr1q3zthkCgSE15gpv5jWllvhNTk62ywHraXiqvKnlFwaMJ24B6uKXp8Tx5cuXVT2Uep5mtZR0RhO1lFklAKtQMfIkyD2WPOJXLuSM+i0tLQ0333xz5ZhITU3Fyy+/rDpG1PpDWYrbXfCGFtSrV0/zoUjp+d22bRuOHDniINSLi4vtRChvBgmtQhfKfnJV/MrREr/yBzjea4UocSxwhfXr1+Ouu+7ythkepXPnzjh06JC3zRAIDKl24lfrps+bVxQAsrKyVMWvqzG7kh1GE6LkeVjl8Hh+5dkE5PCIX3nlLwneghVKtESGhJr4NRIdaqEkZmMvjfLayvMIA8ZV7pSe21mzZiEtLU11jKh5erSKQyQnJ2PhwoVISUmpXGamxDEveiJZKX4fffRRtG3b1kGoq3l+XRG/yocpV8Sv1I/Sw4jWuCwoKKgM3eFJoScQuMqhQ4fQuXNnb5vhUYioSq5jAoG7qXbiV0/g8opfrUlzrsbsAnyTabRy/B44cAAzZszQ9TwrBYsEj/gFHMUQT8yvGkai2Rnx66znV46ZhyAelJ7bqVOnao4RrdLGavZID1qLFi2qXFZQUKCb2YKHK1euqD5YqaEMe4iPj8fYsWMdhLrS8+uq+FUWmHFF/CofWLVCMnhCd7SqRwoEZikvL4e/v3+VFyDyRRISEpzKRiQQeJJqJX4vXbrkVBolJSdOnEC/fv0cREZCQgKGDRvGFbOrdVHj8aSqZYoAgEmTJhl6nrUm6/GKXyXOlkZu3Lix7v6cDXuQx9cC5sWvu1F6bv/2t79pxnWvW7cOU6dOtRtX9evXV81k8NZbb8Fisdglol+7di1SUlK43zyoiWozlQuVmTJCQkJQWlrq0I7X86ssCKIlfpWiVkv8ak1ulaN8YNXz/BqJX623KgKBWXbs2IH4+Hhvm+EV4uPjsWzZMpcf5AWCqqRaid/CwkLdSk68T9l6k5Dq169vOHFML5cpj/jV8vzyeJ61buLh4eFOiV9nPRPOeH6NJkqp5T72tvg1w6effuqQkF5LjPXt2xcvvPCCXSL6Z599Fp06dXI4/2px3kFBQapCtaioyOEBQourV6/aJd8PCQlRHftqnl+1Y1IWuNi9ezfmzJnjcANUCvSgoCDNdHtG47N///545plnKh9GeMIetFA+DAgEzrJ582b079/f22Z4BT8/P2zdutWrE30FAiOqnfhVC1eQw/PKe8CAAZqTkHhmqOuVJo6IiHDa88uTLUIr7MFM1S8lzoQJGInf0tJShwcEZ0ISqlO+1YEDB6JHjx5240ov+4DSy3jbbbdh6hscZAYAACAASURBVNSpDudf6XkFoFmBzIznV0loaKhLnl/lg5nWmwylmNby/CpRyy+stE2rv3mKbyjT5jlTMl0gSE5OxmeffYbt27d72xSv8corr6BDhw4eKc4hEDhDjRK/vF5CrUlIAJ/41RKvgHE4AKCedYEXLc9vQECAYeEDZ7y8yhyvEjwi3x3oFcbQynxhlvT0dMTHxzt4KM2Wg27RogWSk5PtxpWWGFPz0GqNXzVBq/Ww44r41Qp74BWrBQUFduJR602GUrDyil81b7dyEqdeGI/R+Fd6fnntEgjkvPLKK8jOzq7VXs8xY8bg73//u0eKcwgEzlDtxK9e2IM7ShzzpP7SE688YQ+XLl1CgwYNnLJPLS6WhzVr1mDx4sWqMVh6okDrdXFwcLDmpCflDHxX0LOtqKjILTGaW7duxc6dOx1uVma3ryY8Q0NDVQWtmudXTyjzil+1trzoeX6DgoIqP2t58JVhD1ox9Mp+8vf3N8yQAqiPOeW21GyTSoIbjUezBVOqGiJaSER5RHRYtiyciH4iohO2/0Wcho/RrVs39OrVq1Z7PYmIK5+2QOAtqpX4LSoqUn3lL3HdddcZVnnTSjMm4WrYA0+xibS0NM3JAEap0tSKa0joCcVJkyYhIyPDtDdCq7qb3r7ckTKOB70k8mriTOsV9qOPPuoQrgCYi58FrGnUlOfGjOdXK5yguLjYoa1WtTy1tryv7gMDA1XfHqjFYqvBM6kMcL6sslopbh5Pt9p4VPudKceTt8UvgMUAlIliXweQzBhrCyDZ9lngI1RUVKB58+bYtWtXrfd6Pvzww/jmm2+8bYZAoIpbxC8R3UVEfxDRn0RUZRdjPeEH8Hl+8/PzdUMOeFJ/5eXluVSyUm/CndEN19kJasOHD9eMwapTpw7Ky8tV13OmtLE7UsbxoBX/XL9+fdVQiYsXL6pmD+jbty8+/fRTh5uVO2b/mxG/fn5+qg8+roY91K1b1yGvraveeTVB/euvv2LQoEGG23Q2NIPH86uG2nhUK9ShDHtwJY7eHTDGfgagNODvAD63/f05gAc8apRAl59//hn9+vXzthk+wfXXX4/U1FRvmyEQqGLszjGAiPwAfAjgdgBZAPYQ0WrG2FFXt62yL93vmzVrZnjjNYq3NSreADjOkjdL//79kZaWpioOpZhhLcHp7ASc6OhoLFy4EH369HH4LiIiAoWFhar9cvbsWXTo0EF1m1rnQ/66e8uWLU7Zy4OW51d6gFCGlpw/f97u9b2yvRIt8evn51eZx9OIRo0a6U5448mxXFRUhKioKLtlZsIeQkNDceHCBTuv7JtvvlnpDXWXh2rjxo1c21SmRONFy/PbunVr3fXUJpJK51w+fsrLy+1ivI8fP46ZM2fio48+8iUvXjPGWC4AMMZyiUjzYkZEzwJ4FrBeG535LZaUlFTpb9gZfNmm+fPnY+jQoT5hny/0U3l5OZYtW1ZZVMoXbFIibOKjptnksvgFcBOAPxljaQBARF/B6p1wq/hNTk7G2rVrHSYUyeHx1Bh5bXk8q1LYwpQpU5xKih8dHY2lS5eqfudsvl4jCgoKEB0drfqdFOesJn5/+eUXzJgxA9OnT+cWAOXl5Zr9Is2gV/azM5PXCgsLYbFYHJZLwkZZxa+oqEh1xn9YWBiOHTvmsLyoqAht27Z1WC55DfVCcCS0JmCZCalQ827u2LEDc+fORc+ePe3Oi1qRCymcQi5+X3/9dYwePdqt3vkBAwYgNTWVa5vOvMEIDg5Genq63TJnvchqDzzy33VCQgLmzZuH48eP24n5jz76CB999BHmzJnjS4JYFcbYpwA+BYCePXsyZ1JvbdmyxedSdvmqTb169cLmzZt9Zlz4Qj917doV8+bNwxNPPOEzNikRNvFR02xyh/iNBHBK9jkLQC9lI1e9EGPGjEF+fj7GjBmDuXPnarZLS0vT3fbPP/+MLl26qBYekEhPT9fdxvr16yttmT59ukNbvfUZY7rfnzx5EmfPntUsv5qRkaG5bkZGBoqKilS/37lzJ4KDg5GTk+Pw3aZNm/Daa6/hxRdftMs7CwDLly9HXl6ear/v2LEDnTt3xtChQ+3WKyoqwtmzZ7FlyxaHJ7O8vDysXbvWQYQWFxcjLy9P1Xat/tq9ezcCAgIcCilkZmYiNzfXYeLh4cOH4e/v77Ct/Px87Nq1y+GhaNeuXSgvL3d4oMrJycGGDRscJl9q2Xny5EmH5UeOHMGePXtQWlpq953aNvbt24eWLVvi+PHjlcvGjBmDrKwsh/OiNj4yMzORnJyM66+/vnLZxYsX8cgjj8DPz8+ufVlZGdd4VttPnTp1MG3aNACo/C47Oxs//fSTnUdVbXt6y6QxlJ2djcOHD9t54/fv34/IyEj8+eefmtu6du2ag70bNmzAjz/+iJdeeqly7Mp/13PnzsVDDz2EU6dOYdCgQZXrTp48mes6VIWcIaLmNq9vcwCOVUQEXmHNmjUYOHCgt83wKaSKp2oOD4HAqzDGXPoH4BEA82WfnwLwX7114uLimFmSkpJYbGwsS0pK0m335JNPsvj4eM12//73v1lxcbHuNhITE7n3sXnzZofvJ02apLnuuXPn2Pvvv6/5fXp6Olu4cKFTts2ZM4etXLlS9bvJkyeza9euqX7XtWtXBoDFx8c7fPfUU09p9qfFYlFd7/fff2fLli1jjDGH/lmwYAFLT0932FZqair7/PPPVe2bNGkSq6iocFg+depUdvnyZYfle/fuZatWrXJYvnbtWvbhhx86LC8tLWXTp093WD5z5kxWVFTksHzlypVs3759qnaqoXbOpLbK/tFqqzz+pKQkZrFYHM6L2vpJSUls69atdsv279/P/ve//zm0HTJkiCn7jZb997//ZXl5eYbtlPu4fPkymzZtGmPsrz7Ky8tjc+fOddiWclwrt1VYWMhmz55tt0xtzCvHekVFhcO2nnzySa7rkBoA9jLz19c2AA7LPv8bwOu2v18H8B7Pdpy55jLmOD59AV+16bXXXlO9TnkLX+mnVatWsV9++YUx5js2yRE28VEdbdK75rpjwlsWgJayzxYAju5FF0lISMDcuXMNXynpTSYDHNM2qWH0hKqXJxj4KyZUDbXKZ3L08uca5Z2NiIjQjFdWy0QgMX78eERHR6u+rtY71oEDB+LGG290WE+Z71WOVnGGc+fOaU4u0yoRXFZWppq5Qy+GV+3ca02Q0xorWunLmIl4bDNtAccxaaYUt1oWCWVar6qCJ4YecDw+tYwQahPemMYkWHn/qsVuv/HGGw5jXjnW1a4D0dHRXNchd0BEywHsBNCeiLKIaDiA6QBuJ6ITsM6zmF7lhggMkTIRCe+mI3fddRfWrVvnbTMEAjvcEfawB0BbIooCkA1gMIB/uGG7TqE3mQyw3tCMLlB6woRnopMkvtRErpH4bdiwoWquVcAxj6qSiIgIu9e/vDzwwAM4ceKE6Rt6fHw8xowZg3bt2jnYqZUKTitF1/nz5zXTlknFH3gnSemJX7W4Zq3xoCWsGjVq5BB7qvdwYQZXb55q64eGhuLEiRN2y86dO4eYmBiX9sNzzLziV4ma+A0MDMSVK1cM15UeZqQJj2rid+DAgUhLS/OZ+Ew1GGOPa3zlu0bXUrZs2YLRo0d72wyfJCAgAH5+frqhhgKBp3H5bs0YKwfwIoANAI4BWMEYO+Lqdp0lOjoa27Zt07yp8Xjc/P39NaulGYlXQL/Km9H6RgUn9Lx1ERERmoUn9AgICNCMMdZD6zj18r1qCVM9z69W5TOtfMl66cWMvP48qHl+XamspoTXK8wrlLU8v2ZyJCvRq6Qmx4z4le9XTfzyHq9yn2rFSrTeJhghPHsCNU6fPu2QkUXwF82aNUPXrl2RkpLibVMEAgBuyvPLGFvLGGvHGIthjE1zxzadhae8MM82tEIP9Apc8KzPI5614PH8OiN+nUXrOLXy7wLaGTn0PL9aglkrxGXz5s2YP3++gyi+dOmSSynqJNTSl+nlBDYjmBo2bGhYJEUPNeEaEhLiYK8yp61EYGCgnSjUCrVRCuqKigpNrzNPyXHlGw9nC2EAwKlTp3DPPfdUnn+efM1XrlzhGhtmw1UENZ/U1FS0aNHC22b4NMuWLcPx48excOFCb5siEACoZhXeeGjevLlulTceIaJX4vjMmTO6eYKBqhO/RhW0XBG/zni0tI5TL42XOz2//fv3R3x8vEOIi16FOTPHqdVWzZNqtiCG1rZ5xSJg9djzhgEoBXVJSYmqF7xhw4Z2QvnChQuqHm1lkQi9djye3+DgYLscvq6I35UrV+LAgQOV55/n3Gh5wuXnSQhfgRrvvPNOZRpOgTpTpkxB586d0bNnT2+bIhAAqIHi97rrrkNubq5L29Arceyq5/fy5ctOJfgHjMMe9uzZg2+//dbhIuzsTduoGIHW5Dymk9Zm586d+O9//+tgY2lpqWoOXkBb/GpNxnNXhTmtflOrxKYnsKTZpTxoFcVQQxk/rdXvWudCbXmDBg0cRK2aCFU+AGiJR6X41bLRneJ39OjRaN++feX55xW/ar8t+XkrKSlx2iZBzaSoqAgbN27E77//XuXl3KszCQkJOHToEC5evKhaxVIg8DQ1Tvw2b95cU/zqCSw5RuLXyPOrl7HBFYzCHiZNmoT8/HyHi/DFixcNj1tNnOlVmgOsXkKeuE+ljWa9smri9+rVq5oTD9UqelU1egKrQYMGdp5XrRABwJznVxlCcvnyZdXyzQC/x1vN86slfuXttDz3SpF88eJFh8p7gPPiV+247r33Xrz66quV57+4uNhwW1phIHXq1Km8WevFSQtqJ5988glmzpyJ2NjYKi/nXhMYMGAAvv76a2+bIRDUPPF73XXXaYY9GFV3k9ATvzw3Umcn08hRE6MlJSW6InbKlClo0qSJauoxPdGsxdmzZ3XFrzOhEs54ZRs1auQQKmEkzM0iZS9wFj3xq/R+6gk7s55fufg1M+lO69w1bNjQTqxqbVMparVitv39/e08PVrH7qz4VfudNGnSxK7wCU9WCi1hKz8ferHsgtpHQUEBrly5gscee8xj6e+qO506dUJKSopmKlCBwFPUOPGrN2GIx2sLGJdJruoZ33oCSG/fCQkJuPvuux0uwkYiFnD0TvKuZxYz+WklAgICHLJv8GTNMCNm1SZwmUldpid+lefTSCjLPb96Hm5lzmQ98asUiVphGA0aNOD2/PKEPQD2Y1bLRmfEr1ZJ7Hr16nHFQsvRCnuQ97Hw/ArkfPLJJ3juuee8bUa144knnsCXX37pbTMEtZwaJ371yM/P5xK/ajGdnsTdYRM8nl+1OGUe8eut1E9GXnyprCYvyol4ZlOXFRUVabZXS72lNSFQGeKhZ4fyIU1vu7wEBQVxeX7379+Pt99+uzJ2W2/Cohxez295ebluQRfA9RhceXETrbAHeVy1EL8CiTNnzqBOnTpOT16uzfTo0QO//fabZjpRgcAT1Crxyxv2UFXwTnxyJV0bETkIdx4R66z4dRZXZ84bPcg0bdrU7tW3EUrxazZ7Q0VFBfz8/FS/48k7q9W2uLhYU9C6EvagBe+EtxkzZiAjI8MuowKPMOT1/GpBRJVjx9Xjlfef1oODfFyIsAeBxCeffIJRo0Z524xqyz//+U8sWbLE22YIajFC/GpQFR7N0tJSriILrnh+Q0NDHYQzj+dXLb0bjzdPKWLLysoM86VqVXkzg1HYg1L86oUPAK6LXz2Ugvb8+fOagrZevXp2pZb1BF5ISIidYNRrKx/PehPueGN+3377bbvYbZ6y4VI7Hs+vFjk5OejTpw+Sk5PdKn61Hl7kbYTnVwAAWVlZaNCggRgLLnDDDTfgp59+Qu/evUWKOIFXqFXi9/Lly6ozzXkx461MTU11qD7Gm+PXFc9veHi4Q7YLrVe6yn0qxa+eN1NCPhseME7HBuhPSuTFaD9K8avnQQUcxS9PCAHveDAT9qAUpXrhFHIvKADs2LEDI0aMUL2ZpKamIj4+HsnJyZo5eQFryI98MoqWqFWL3eZ5YNSyUa+st5xNmzZh9+7dSExMdKv41UI+LowmnApqB/PmzcPIkSO9bUa1JzU1Fbt378abb77pbVMEtZAaKX4bNGigeiN19VW7kYCSs23bNofqY7ziV83zy2t7RESEg/i9du2artcTsIpfrQwXeii9uEbp2ABH8Xvp0iXNFF1aMMZ0J6Qpxa+RJ9es51dtgqAWyklsemEPSsyMua+//hr79u1TTSO3fft27Ny5E4mJiaY8mDxjxwj52F2+fDn279/vYGOdOnW4xvgLL7yATp06YcqUKYaebqPtmRW/0nYFtZdFixbhiy++wJ49e7xtSrVn+vTp6Ny5M3r16uVtUwS1kBopfo2qvPGQnp5e6SmTOHPmjGGBC4khQ4aga9eudim9eMWvWgWxH3/8EYsXLzZ8RaQmfnnQKiRhhNJjzBNi0axZM5w5c6byM2+8qBmUDxBGnlyz4tdMSrKgoCC7hzG9sAclep5fJbfeeqtqxTsAGDFiBLp06YIpU6a49fW92QdKPRt5ePTRRzFmzBgkJCToil9pPOtl7YiIiDAUv4GBgZWZI4Twrd1cuHAB48ePR3p6uiho4QakwhcxMTHYvXu3t80R1DJqpPjVqvJm5ub1yy+/VHrKJHhTpQHA/fffj7ffftvutTCv+FWz880330RmZqbhRTc8PNwp4c/reVOiFL88k4KUnl+e2GIeT54cPz8/u1RnZj25Rt5ZMw8LyvN59epVw7hoCTOe36ioKNWKdwDwwAMPYPz48UhISOAKg+GBNzxHXoZZqyofL/Lftt4DjeT51wvx4PH8An+dP1HeuPbCGMOkSZMwd+5clx7eBI688MIL+Oqrr6qkMJRAoEWNFL9qVd6Sk5OxYMEC7uB6+etViTNnznCL36ioKJw8edJuGa/4VWPQoEGVnjs9AgMDnS6w4az4lQsgHs+vMgyAx/MbFBRkupqcnK1bt2LMmDFISUlR/V4pUM+fP6/rcTVTic0V3JHBAQDatGmD9PR0AO6buGWxWJCVlWXYThnz7AryhzS9vpHEr1HlPZ44YyF6BR988AGeeOIJPPTQQy49vAkcISJMnjwZU6ZMEaWPBR6jxopfpfdz/PjxmmV11XjssccwevRou4tcXl4ed9hDeHi4g1espKSEa0a8GkFBQdi6davHLrpmYozNen6VQpPH8+tsWIbE4sWLcfDgQSxatIirvVGsqzzswWxBDDMYxUNL56m8vFx3cqLcs+0t8Xv58mUEBga6vF/pmPUyTEhVGvXEr1mPrgh7qJ1s3LgR4eHhiIuL87YpNZbQ0FB06dIFbdq0QVJSkrfNEdQCaqT4VROeQ4YMQYcOHbhfVzVv3hw5OTl2y86ePctdJljrRsl7A01LS7PLFuHpNEu8BQSUYQ/OzIj/5ZdfMGrUKF2vfGZmJu6//34kJycbpi1TQ4o1HTp0qKn1tJB7fnm8s654D/XGjJRtIzs7GxaLhWt7WtXMzMIrfqUHhfT0dERFRRm25+0rvWwkPJ5fiYsXL3JlgREe4NpFcnIy4uLisGTJEjz11FPeNqfGs3jxYmRlZWHIkCF26R4FgqqgRopftfjVkJAQrFq1ittzqiY43DHznZfNmzc7ZItwBjOZFOTHzFvgQi3rgVkP2bJly1QzAMj57rvvcPDgQSQmJqKgoMB08Q0pHtZd3hu559edOYEBwN/fn7v6UVhYGIqKinDy5EkuYQnwi73k5GQsXLhQ86FEmrhoNMYkz29qaiqio6Ndtk85OVENKXsJz+RCnoeBqvTuC3yTcePGYd++fUhNTfW2KbWCKVOmID4+Hu+//z5effVVlyetCwR61JqreVpaGteN11d46KGHEBcX59TECnklObNCUZokVpXV3ZTwZAB499130apVK0yZMoW7WEndunVRVlYGxpjbX1nLPb/uFr+hoaEO2T60kCZtpaeno02bNrpt69Spg4qKCsP+ICJUVFRg7NixuqFC0vaMYrYl8ZuWloaYmBjDY9IqhCERHR2NtLQ03W3UrVsX5eXlhueGMWY4AZCI3FI6WlB92Lx5M9q3b4/evXtj6tSp3janVpCQkIDt27dj8ODBeO+99zBjxgz89ttv3jZLUEPxjBvTB3DWa+uKcJIEkjPC6PHHH8ff/vY3JCQkGMZzKpEqf4WEhHBNQJOQvJlhYWHIz8+vUvErva738/NDVFQUvvjiC9329913H3bv3o2EhAQkJydzTTyU4j4rKiq4QwJ4qVevXuXEQp5zbGYMSfHNBw4cwIIFC3DLLbdovrGQxO+pU6fQsmVL3e2qTQRVQ0rNdtNNN8Hf39/wAcwoJEcSv0ZhQ5mZmejZsydeeuklQ/F77Ngxw+MA+M6Nkf3+/v44c+aMqOhVC2CMYd68efD398eyZctEnLeXaNiwId5//32MHDkSmzZtwkcffYQ777zT22YJahC1xvPrDC1atHAqZ65EmzZtkJGRAcD4FbKSLl264NChQwDAJWzkyCf8mfHgyuN3q9rzK5VTNpNBQ4I3a4YU93n06FF07NjRsL3k8eRBflPkfcAxWxHutddeM5ykKYnfq1evom7durrbVctAorf/sLAw/Prrr4ahQkYTFuXZHvTExNGjR5GSkoJ33nlHV/xGRUUZen6lffHkSTYKewgPD0daWppb4qQFvsu6detgsVhw6dIljBgxQghfL1OnTh0cPXoUaWlpGDp0KL777jsRdy9wGzVW/GZkZKBPnz5ITk427TmVuP766/Hnn38CsM74NZMqDbBPLzVu3DhT2SYaNGhQGfSfmprK9bpYQu7h27JlC8aMGcNlt+QpBcyJX2duElK86P79+9GjRw+udVq0aIHs7GzufMuS+D127BiX+A0ODsaFCxewdu1awwcVeeo8HvGbk5ODXr16Yf369YYiVfL8xsbG4qabbtL1vPLmqgXsx6MeISEhOHbsGFq0aMG1XSPPqVS0xejGNW3aNPTu3RthYWGYOHGiZv83bNiQq7oeY8ywRHdAQABOnz6ta39YWBhSU1OF57eGcu3aNXzxxRcYMWIEcnJy8O2333rbJIENKQ546dKlCA8Px7/+9S/Mnj3boQCVQGCWGit+d+3ahV27diExMZF7lrkSufh95ZVXTIlXwCo2JE9b3759nY7hNSt+5YUAFi9ejAMHDnDZLff8mqksJokaM0/lUqGLgwcPomvXrlzr3HTTTdizZw935gtJ/PKUXAb+mkg1atQow3OdmJiIrKwsvPDCC1zid//+/dizZw/GjRtnGDvaqFEjZGRkIDo6ujLUQwsz4rd169aVbyL0CAkJwZIlS/DAAw8Ytg0LC8PJkyd1j9/Pzw/l5eWGD0kJCQnYuXMn/Pz8cPjwYY9U0QoPD0dqaqquV1eI35oJYwyrVq3CK6+8grZt22LJkiWigIWPIcUBJyQkoH///vjPf/6DTz75BDt37sTw4cO5ss0IBGrUWPH7/vvvo2XLlpgyZQp+//13dOjQwfQ2LBYLTp06BQDo0aMHevfuberCKJ+VHhwcjL1795rK09uoUSOcO3cOOTk53F444C/P78WLF9G/f3/uC7oybRmvR1cSN4sXL8aSJUu4nsgl8Wsm93GXLl1w8OBB7pn3kvjlJSwsDD/88AMGDx5s2GeSR+K+++7DZ599hnvvvVf3uKdPn47evXujcePGmDt3rm7b0NBQfPDBB1xp2Ro1aoS8vDxDbzJgLYBSVlZm2C40NBSZmZlcoTYWiwWHDh0yFIa5ublo3ry54faAv/rWVREixZXrER4ejoyMDN0xKMIeahZFRUUYO3YsIiMjcfz4ccyePRu9evWyE1oC36ROnTr48MMPER8fj5kzZ+L777/H4MGDERMTg6VLl4qwCAE3NVb83nvvvXjiiSdw22234ffff0f79u1Nb0MqkcsYQ2RkJHbu3GnqwiiJx5KSEq7UUkq6deuGgwcPgjFmKs2S9Nr866+/xhtvvMF9QT98+DAmTJiA2bNn48CBA3Z5hvWIiIjAjz/+iDfffJO77r0U9mCGgIAA7hRggPWBgzdrAmDNCDJ58mTccccdhn0m3ShnzpwJInIoha3WfufOnbhy5Qr++OMP3ba//fYbsrKycOLECUOb/f39cfLkSe6Y8IqKCsOHmt9//x3p6elc595iseDw4cOGnm8z2VZ4RIifn5/hcURERBh6xSXPud62hOe3+rNu3Tp06NABgwcPxocffoikpCTk5uZi5cqV3jZNYBLp+vDwww/jpZdewqlTp5CWloa33noLb775JiZMmIDXX38d3bt3x8aNG71trsBHqbHiFwC6du2KgwcPulwi9siRI+jcubPT6yclJeH22283vV63bt1w4MAB0+tJN/KjR4+iU6dO3Ou98847OH36ND777DNkZmZy5xkuKirC6NGjMXr0aG6PXVBQELKzs02nj1LL4awFEZnKWrFixQoUFhZi0qRJpmyaM2cO93HzeDVnzJiBs2fPcr/2z8jIMExzJlFcXGzY59L559m/xWJBRkaGYSaVS5cumQrdMaJVq1aGbwyaNm1q9yZDDZ6wkbCwMJw+fZo7X7bAuyQnJ6NPnz6YPXs2ZsyYgYkTJ+LZZ5/FH3/8gczMTIwfPx4zZ84UIQ41BOmaOm/ePEydOhVTp07Fxo0bceDAAQwfPhyJiYl48sknER0djRkzZiAtLQ3l5eVITk5G3759NUveC2o2LqU6I6JHAEwG0BHATYyxve4wyl3ce++9mDNnjsvb+fHHHzFy5Ein19+7d69TF1mpUp0zE8oOHTqExx9/3NQ6U6ZMQWJiYqWt8r/1+PHHH5GZmYlVq1Zh+/bt3Ps7cOAA7r//flM2tm3bFps2beJu/8cff2DQoEFcbadNm8Z9zHISEhK43wjwtFWeByNKS0u5Y9pDQkIMPZhvv/029/6bN2/OVbI4IiICMqVVZAAAFTdJREFUrVq14rKRh3PnzuHjjz9G9+7dNfuzSZMmhoI1PDwcAQEBum0aNWqE+vXrO22roGr5/vvv8eabb2LAgAEIDw/HwoULkZWVhaKiIuzevRvBwcEYMGCA3Zg285sV+DbKc0lE+Pe//115vhMSEhAfH4+TJ0/iiy++wHXXXYeMjAx89tlnlW/YSkpKcP78eaxfvx4vvvgi7rvvPjRt2rTSASRtR1BzcDXP72EAgwDMc4Mtbkeavc9zc9aiSZMmOHTokNNFDBo1aoTs7Gynq0MVFBSY8t5KBAUF4T//+Q/Cw8OdFma865kVaxLl5eXo3r27qXWuXbuG9evXIzk5mcu+wMBArkwPgO/cEM3a0bRpU0RGRnK1vXTpEqZPn46WLVtq7sPM/v38/Lj6t23btujfv7/bbiJfffUV0tLSkJiYqLm9pk2bGv5uw8PDDR8G/P39uT3rAveRnJyMiRMn4uWXX0Z0dDRycnKwadMmLF++HHfeeWdlGM2SJUuQnp6O+vXrY8+ePbj11lsrr0dSyjxf+W0LPIPyfMsf6KXlffv2RWJiIgYNGoSXX34ZvXr1wu+//465c+eifv36yMvLw4cffoisrCw8/fTTGDZsGABrCNeWLVtwxx13IC4uDqdOncLKlSsxYsQI9OvXD0FBQThw4ABmzZqFyZMn46677sKmTZuEiPY1pGpgrvwDsAVAT972cXFxzBk2b95sep1x48axqKgolpSU5NQ+33nnHd31jWyaOnUq69Chg9P7/+c//8k6duzIvb5kT3x8PAPA4uPjndqvu9Drn2eeeYbFx8eb6ps+ffqYOq7HH3+c9enTp3IfzoyhqsQd9rzwwgvc/di1a1fd/jNrT1JSEmvdurXhvl0Zj2o2JSUlGR7zt99+yywWi26bn376iTVp0kS3TVJSkl0bZ88ZgL3MDddbZ/45c81NSkpisbGxdn2j7He185CUlMR69+7NVq9ezfLy8lhGRgZbtGgRu+GGG9isWbPY2rVrWWJiIouJiWHPPfcce+utt9ikSZPYU089xSwWC3vqqafYpEmTmMViYQBYTEwMW7NmDUtJSWE9e/Z0GEc8Y6Gq8bXrCmPCJl4km7TGsnKZdC3r3bs3O336NOvevTsDwGJjY9kPP/zAli9fzmJiYhgA1qpVK7uxbLFY2KRJk+zG+5NPPskSExPZpEmT2JNPPsksFgu74447Ktu0bNmSDR8+nL3//vvsgw8+YGPGjGExMTFs3Lhx7Msvv2SJiYmsffv2bNq0aWzDhg1s06ZNbNasWaxz585s7ty5bN++fezgwYNswYIFrHv37uzzzz9nJ0+eZF9++SWLi4tj33zzDcvPz2cFBQVs1apVrFevXmzNmjXs8uXLbP369axPnz7sp59+MtVP7mqjtUx57rTQu+YSc8PsSCLaAuBVphP2QETPAngWAJo1axb31Vdfmd6PmcwAEs8//zyOHTuG2NhYzJ071/Q+X3jhBRw9elRzfSObXnzxRRw5csTp/Y8YMQKpqanc60v2pKSkYNGiRRg6dCji4uJM79dd6PWPM31j9riU+3BmDFUl7rDHTD8a9Z9Ze3j37cp4dLaPjH67AJ/97hpDAwYMSGGM9TS9ogpEdBeAOQD8AMxnjE3Xa9+zZ0+2d6+5qLQ+ffpg165dsFgsGD58OABgwYIFyMrKqlym/Cxv07p1a4wdOxb16tXDjBkzcOLECXTq1AkLFizAqFGjcPDgQdx0003YsWMH/Pz80LdvX+zYsQPx8fHYvn07kpOTHbxlycnJGDNmDObMmeNTHrQtW7agf//+3jbDDmETH2ZtUo5LrXFq1EY53uXLYmNjcfjw4crPvXv3xoYNG3D16lXcdddd2Lt3L7p3744vv/wSgwcPxsGDB9GlSxd8/PHHKC8vx/PPP4+jR4+iQ4cOmD59OsrLyzF+/HgcP34c119/PSZMmICpU6ciNTUVUVFR+L//+z9cu3YNs2bNQkZGBlq1aoVRo0bh448/xqlTp2CxWJCQkIA2bdro/uZ5rgtm2gDAF198gdTUVLt+4j13RKR9zdVSxdI/AEmwhjco//1d1mYLfNTz66pXwGh9I5uqev9m7fE0evZ4wmOj3Ed16h9e3NmPznh+q/ocOttHPLY508bbnl9YBW8qgGgAAQAOAuikt46nPb/u8vqo4Wu/YcaETbwIm/5C7zcwc+ZMwzae+A3KP9c0z2+ND3uoanzNJmGPPsIefXzNHsZ8zyYfEL99AGyQfX4DwBt664hrbtUibOJD2MSHsIkPV8SvqxPeBAKBQOBZIgGckn3OAtBL2UgRaoYtW7aY3lFJSYlT61UlwiY+hE18CJv4qGk2uRTzS0QPAvgvgCYAzgM4wBi7k2O9fADGdVYdaQxAP3Gn5/E1m4Q9+gh79PE1ewDfs8lZe1ozxpq4unNbisk7GWMjbJ+fgjXV5Es664hrbtUibOJD2MSHsIkPI5s0r7kueX4ZY98D+N6J9Zy6ARDRXuamCSPuwtdsEvboI+zRx9fsAXzPJh+wJwuAvKSfBUCO3grimlu1CJv4EDbxIWziwxWbanSFN4FAIKiB7AHQloiiiCgAwGAAq71sk0AgEFQbRMyvQCAQVCMYY+VE9CKADbBmfljIGDviZbMEAoGg2lDdxO+n3jZABV+zSdijj7BHH1+zB/A9m7xuD2NsLYC1HtiV149VBWETH8ImPoRNfNQom9xS5EIgEAgEAoFAIKgOiJhfgUAgEAgEAkGtQYhfgUAgEAgEAkGtwWfFLxH5EdF+Ilqj8h0R0QdE9CcR/UZEPbxsT38iKiKiA7Z/iR6wJ52IDtn2t1fle4/2EYc9Hu0jImpERN8S0e9EdIyI+ii+93T/GNnjsf4hovay/RwgomIielnRxmP9w2mPp8fPv4joCBEdJqLlRFRP8b3Hr0GehojuIqI/bMf4ug/Y05KINtt+P0eIaIy3bZLQuz94A6PrjZds0v1NeciGhUSUR0SHZcvCiegnIjph+z/MB2z6t+3c/UZE3xNRI2/bJPvuVSJiRNTYF2wiopds16kjRPQe9wa1Sr95+x+A/wPwJYA1Kt/dA2AdAALQG8BuL9vTX215FduTDqCxzvce7SMOezzaRwA+BzDC9ncAgEZe7h8jezw+hmz79QNwGtZk4F7rHw57PNY/sFZQOwmgvu3zCgBP+0L/eHhcpAKIto3XgwA6edmm5gB62P4OBnDc2zbJbNO8P3jJHt3rjRfsMfxNeciOWwH0AHBYtuw9AK/b/n4dwAwfsOkOAP62v2f4gk225S1hzTKToXe/92A/DQCQBCDQ9rkp7/Z80vNLRBYA9wKYr9Hk7wCWMCu7ADQiouZetMcX8Wgf+RJEFALrD2UBADDGyhhj5xXNPNY/nPZ4iwQAqYwxZfUvb40fLXs8jT+A+kTkD6ABHItI1PTf100A/mSMpTHGygB8Besxew3GWC5jbJ/t7wsAjsEqqryKr90ffPh6Y/SbqnIYYz8DKFQs/jusDwuw/f+At21ijG1kjJXbPu6CtZCNV22yMQvAOAAez5SgYdNzAKYzxq7Y2uTxbs8nxS+A2bB2cIXG92q17avyImhkDwD0IaKDRLSOiGKr0BYJBmAjEaUQ0bMq33u6j4zsATzXR9EA8gEssr2KnE9EDRVtPNk/PPYAnh9DgLVAwnKV5Z4eP0b2AB7qH8ZYNoCZADIB5AIoYoxtVDTzVv94Cp8+PiJqA6A7gN3etQQA3/3Bk/BebzwG52/KWzRjjOUC1gcsAE29bI+SYbC+ZfIqRDQQQDZj7KC3bZHRDsAtRLSbiLYS0Y28K/qc+CWi+wDkMcZS9JqpLKuSJxFOe/bB+pq2K4D/AlhZFbYo6MsY6wHgbgAvENGtiu891kec9niyj/xhfT3yMWOsO4BSWF9nyfFk//DY4/ExRNbqYAMBfKP2tcqyKn3aN7DHY/1ji/n7O4AoAC0ANCSiJ5XNVFatSXkjffb4iCgIwP8AvMwYK/ayLTz3B0/Dc73xKJy/KYECIpoAoBzAMi/b0QDABABVPp/JJP4AwmANPRsLYAURqV27HPA58QugL4CBRJQO66u224joC0Ub07Xtq9IexlgxY6zE9vdaAHWrOhicMZZj+z8PwPewvqaU48k+MrTHw32UBSCLMSZ5hb6F9WagbOOp/jG0xxtjCNYHlX2MsTMq33l0/BjZ4+H++RuAk4yxfMbYVQDfAYhXtPFG/3gSnzw+IqoLq/Bdxhj7ztv2gO9+5Wl4rn+ehuc35S3OSCFLtv+5X51XJUQ0BMB9AJ5gtoBWLxID64PLQdtYtwDYR0TXedUq61j/zhZ+9iusb1+47gs+J34ZY28wxiyMsTawvgLdxBhTPiGuBvBPstIb1lcoud6yh4iuk542iOgmWPu1oCrsse2jIREFS3/DGhyvnJXpsT7isceTfcQYOw3gFBG1ty1KAHBU0cyTY8jQHk+PIRuPQzvEwGP9w2OPh/snE0BvImpg22cCrPGlcrzRP55kD4C2RBRl88gPhvWYvYbtXCwAcIwx9h9v2iLBeb/ytE081z9Pw/Ob8harAQyx/T0EwCov2gLAmmkFwGsABjLGLnrbHsbYIcZYU8ZYG9tYz4J18ulpL5u2EsBtAEBE7WCd3HmWZ8VqU96YiEYBAGPsE1jLet4D4E8AFwEM9bI9DwN4jojKAVwCMLiKn9SaAfjepgX8AXzJGFvvxT7iscfTffQSgGW2G3cagKFeHkNG9ni0f2yvsW4HMFK2zGv9w2GPx/qHMbabiL6FNdSiHMB+AJ/62jWoKmGMlRPRi7DO7PYDsJAxdsTLZvUF8BSAQ0R0wLZsvO1NgMAeh+uNN43R+k152g4iWg5r5pjGRJQFYBKA6bC+Lh8Oq0h/xAdsegNAIICfbPfVXYyxUd60iTG2wFP757UJwEIAC8ma/qwMwBDe+4IobywQCAQCgUAgqDX4XNiDQCAQCAQCgUBQVQjxKxAIBAKBQCCoNQjxKxAIBAKBQCCoNQjxKxAIBAKBQCCoNQjxKxAIBAKBQCCoNQjxK6gSiCiCiA7Y/p0momzZ5x1VtM/uRDS/KrbtDES0mIge1vn+RSKqUSmyBAKB9yCia7Lr7AGyloGuMciv8UT0NBHNVXy/hYh66qz/FRG1rWo7Bb5PtcnzK6heMMYKAHQDACKaDKCEMTazinc7HsDUKt6HO1kIYDuARd42RCAQ1AguMca6aX1JRP6MsXJPGuRmXL3GfwxgHIBn3GOOoLoiPL8Cj0NEJbb/+xPRViJaQUTHiWg6ET1BRL8S0SEiirG1a0JE/yOiPbZ/fVW2GQzgBsbYQdvnfjLvx376qwLdWNs2fiOit2Tr/9O27CARLbUta01EybblyUTUyrZ8MRF9QEQ7iChN8u7aqn3NJaKjRPQjgKay7U+3Lf+NiGYCgK1yTzpZK5YJBAKB27F5SL8hoh8AbLQt07oOTiCiP4goiYiWE9GrtuWVHlUiakzWErcgIj8i+rdsWyNty/vb1vmWiH4nomVElRUab7RdOw/arvXBRLSNiLrJ7NhORDcojsPuGm9wzANl1/8/iOik7attAP5GRMLxV8sRA0DgbboC6AigENZKRPMZYzcR0RhYqxS9DGAOgFmMsV9sAnSDbR05PWFfUvlVAC8wxrYTURCAy0R0B4C2AG4CQABWE9GtsJbJnQCgL2PsLBGF27YxF8ASxtjnRDQMwAcAHrB91xzAzQA6wFoe81sADwJoD6ALrFXvjsJafSbc9l0HxhgjokYyO/cCuAXAr850nkAgEMioT39VvzvJGHvQ9ncfWIVjoc51sBTWEs3dYdUG+wCkGOxvOKylvW8kokAA24loo+277gBiAeTA+oarLxH9CuBrAI8xxvYQUQisFRvnA3gawMtkLVMbyBj7TbEv5TUeAB4joptln68HAMbYatjKcRPRCgBbbcsriOhPWO87RscmqMEI8SvwNnsYY7kAQESpsHkmABwCMMD2998AdLI5DgAghIiCGWMXZNtpDiBf9nk7gP8Q0TIA3zHGsmwX/TtgLa0JAEGw3gS6AviWMXYWABhjhbbv+wAYZPt7KYD3ZNtfyRirAHD0/9u7m9CqjjCM4/9HKEREslAU48KCENpNQcSFFMSquBBEBJsWWou4UlDRgt2Iiy5EBXeiIsRiV8W6CBVRVCo2SP1CEcUPXFkQC7qx6UdUTN4uZi6ZxHtugkETc5/f6tw558xMwuVleOc950qamdsWAT9FRB/wWNL53N4DPAc6c0b4ZNHPE9IC2sxstKrKHs4Vca0qDk4FuvKOFJJOjGC85cAnGni2oTX39RK4GhGPcl83gQ+Bv4A/I+IaQET05PPHgZ2StgPrgaN1xhoa4wGORcSm2gdJF8qTkr4j/U8OFM1PgDa8+G1qXvzaWHtRHPcXn/sZ+H5OAhZGRG+DfnqBltqHiNiTF5orgMuSlpGyHLsj4nB5o6QtwEh+57u8ppy3Kq6pzeVVLm1YSsqsbAKW5NMtee5mZm/Lv8VxVRzcSnUcfMVAmWRL0S5gc0ScGdLXYgbHyD5SPFe9MSLiP0nngFVABynLO9SgGD8cSUuBz0lJiZJjrrnm194LZ0kLRgDK2rDCPfKWV75mbkTcjoi9pNKCj0jlEutzGQSSZkuaAfwKdEialttrZQ+/kxarAF8BF4eZZzfwZa6Dm0XOXOfxWiPiFKmMo5x/O69v5ZmZvS1VcbAbWC1pcq6vXVnc8xCYn4/XDOlro6QPcl/tkqY0GPs+0CZpQb5+alF/20kqLbtWZKlLg2J8I5LmAAeBjjpJk3bgzkj6sYnLmV97H2wBDki6RfrOdgMbygsi4r6k1qIcYqukz0gZh7vA6Yh4Ielj4FIuofgH+Doi7kjaBfwmqY+0Hbguj/tD3op7Cgz3WrIuUkb3NvCAXGdG2k78RVILKfOxrbjnU+B7zMzegYg4WxEHb0g6BtwE/iA9HFazD/hZ0lrgfNHeSSpnuJEfaHvKwHMR9cZ+KekLYL+kyaQM7DLS24CuS+qh4u03dWJ8I+uAaUBX/hsfR8SKXKLWWyu1s+aliJHs9pqNf5K2AX9HxLh5128jkuYB30bE2rGei5lZSe/uFZW18dqAC6QHg/srrhlVjM/390TEkTeeqE0ILnuwieQQg+vMxrvpwM6xnoSZ2ViS9A1wBdhRtfDNRhvjnwE/juJ+myCc+TUzMzOzpuHMr5mZmZk1DS9+zczMzKxpePFrZmZmZk3Di18zMzMzaxpe/JqZmZlZ0/gfLxrfdMDT2HcAAAAASUVORK5CYII=\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.dft.exercise_chirp(show_result=show_result) " ] @@ -1130,15 +732,8 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:48.655649Z", - "iopub.status.busy": "2021-09-23T10:12:48.654701Z", - "iopub.status.idle": "2021-09-23T10:12:48.656907Z", - "shell.execute_reply": "2021-09-23T10:12:48.657620Z" - } - }, + "execution_count": null, + "metadata": {}, "outputs": [], "source": [ "#\n", @@ -1148,37 +743,9 @@ }, { "cell_type": "code", - "execution_count": 16, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:12:48.664115Z", - "iopub.status.busy": "2021-09-23T10:12:48.663323Z", - "iopub.status.idle": "2021-09-23T10:12:48.683464Z", - "shell.execute_reply": "2021-09-23T10:12:48.684484Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Comparison between DFT * DFT_inv and I: True\n", - "Comparison between DFT_inv * DFT and I: True\n", - "Comparison between DFT_inv and DFT_inv_via_np: True\n", - "Example signal x: [ 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.]\n", - "Signal y = fft_inv(fft(x)):\n", - "[4.4408921e-16+0.00000000e+00j 1.0000000e+00+4.49810399e-16j\n", - " 2.0000000e+00-9.95799250e-17j 3.0000000e+00-5.72118873e-18j\n", - " 4.0000000e+00-1.99159850e-16j 5.0000000e+00+5.72118873e-18j\n", - " 6.0000000e+00+9.95799250e-17j 7.0000000e+00-5.72118873e-18j\n", - " 8.0000000e+00+0.00000000e+00j 9.0000000e+00+5.72118873e-18j\n", - " 1.0000000e+01-9.95799250e-17j 1.1000000e+01+4.38368021e-16j\n", - " 1.2000000e+01+1.99159850e-16j 1.3000000e+01-4.38368021e-16j\n", - " 1.4000000e+01+9.95799250e-17j 1.5000000e+01-4.49810399e-16j]\n", - "Comparison between x and y: True\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.dft.exercise_inverse(show_result=show_result) " ] @@ -1210,7 +777,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/PCP_10_module.html b/PCP_10_module.html index 8c8d813..b2ecd72 100644 --- a/PCP_10_module.html +++ b/PCP_10_module.html @@ -1,16 +1,90 @@ - - - -PCP_10_module - - - - - + + + +PCP_10_module + - - - +/*# sourceMappingURL=style.min.css.map */ - - - - - - - - + + - + -
    -
    - +
    +
    +
    -PCP Teaser +PCP Teaser
    @@ -13091,12 +13097,12 @@
    -

    Unit 10: Python Modules and Packages

    @@ -13104,12 +13110,10 @@

    Unit 10: Python Modules and Packag
    -

    +

    Overview and Learning Objectives

    - -This final unit of the PCP notebooks serves several purposes. First, we give a general introduction to Python modules and Python packages, which are fundamental concepts for organizing and making Python code available. Second, we introduce the Python package libpcp (that accompanies the PCP notebooks) and use this package as a concrete example for illustrating the Python concepts. At the same time, this unit (together with Unit 1) also documents the technical backbone underlying the PCP notebooks. Last but not least, we will also uncover in this unit the secret of where one can find the sample solutions for all exercises. In summary, we hope that the PCP notebooks help students naturally transition from learning about Python programming and signal processing to beginning independent research following good scientific practices. Another main motivation of the notebooks is to indirectly guide students to employ open-source tools for software development and reproducible research. - +

    This final unit of the PCP notebooks serves several purposes. First, we give a general introduction to Python modules and Python packages, which are fundamental concepts for organizing and making Python code available. Second, we introduce the Python package libpcp (that accompanies the PCP notebooks) and use this package as a concrete example for illustrating the Python concepts. At the same time, this unit (together with Unit 1) also documents the technical backbone underlying the PCP notebooks. Last but not least, we will also uncover in this unit the secret of where one can find the sample solutions for all exercises. In summary, we hope that the PCP notebooks help students naturally transition from learning about Python programming and signal processing to beginning independent research following good scientific practices. Another main motivation of the notebooks is to indirectly guide students to employ open-source tools for software development and reproducible research.

    @@ -13117,101 +13121,83 @@

    Overview and Learning Objectives

    -

    -

    Python Modules

    A Python module is basically a file with an extension .py containing Python code. The content of a module can be accessed with the import statement. As an example, we consider the file module.py contained in the folder libpcp. When the import statement is executed, the interpreter searches for module.py in a list of directories which specifies the search paths for modules. The variable sys.path (which is part of the module sys) yields the list of directories. It is initialized from the environment variable PYTHONPATH (plus an installation-dependent default). The list contained in sys.path can be extended using the function sys.path.append. The following example illustrates these concepts:

    - +

    +

    Python Modules

    A Python module is basically a file with an extension .py containing Python code. The content of a module can be accessed with the import statement. As an example, we consider the file module.py contained in the folder libpcp. When the import statement is executed, the interpreter searches for module.py in a list of directories which specifies the search paths for modules. The variable sys.path (which is part of the module sys) yields the list of directories. It is initialized from the environment variable PYTHONPATH (plus an installation-dependent default). The list contained in sys.path can be extended using the function sys.path.append. The following example illustrates these concepts:

    -
    In [1]:
    +
    In [1]:
    -
    -
    import sys
-print(sys.path, '\n')
+
    
+
    import sys
+print(sys.path, '\n')
 
 import os
-sys.path.append('libpcp')
-print(sys.path, '\n')
+sys.path.append('libpcp')
+print(sys.path, '\n')
 
    
-
-
    - +
    - -
    - -
    - - +
    -
    ['/Users/rosenzweig/Documents/development/PCP', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python37.zip', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/lib-dynload', '', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages/IPython/extensions', '/Users/rosenzweig/.ipython'] 
+
    ['/home/yiit/workspace/python/PCP', '/home/yiit/.conda/envs/PCP/lib/python39.zip', '/home/yiit/.conda/envs/PCP/lib/python3.9', '/home/yiit/.conda/envs/PCP/lib/python3.9/lib-dynload', '', '/home/yiit/.local/lib/python3.9/site-packages', '/home/yiit/.conda/envs/PCP/lib/python3.9/site-packages'] 
 
-['/Users/rosenzweig/Documents/development/PCP', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python37.zip', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/lib-dynload', '', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages/IPython/extensions', '/Users/rosenzweig/.ipython', 'libpcp'] 
+['/home/yiit/workspace/python/PCP', '/home/yiit/.conda/envs/PCP/lib/python39.zip', '/home/yiit/.conda/envs/PCP/lib/python3.9', '/home/yiit/.conda/envs/PCP/lib/python3.9/lib-dynload', '', '/home/yiit/.local/lib/python3.9/site-packages', '/home/yiit/.conda/envs/PCP/lib/python3.9/site-packages', 'libpcp']
    -
    -

    Once the directory of the module is in the search path, we can use the import statement. Let us come back to our example module.py, which has the following content:

    -
    -
    In [2]:
    +
    In [2]:
    -
    -
    import os
+
    
+
    import os
 
-fn = os.path.join('libpcp', 'module.py')
-with open(fn, 'r', encoding='utf-8') as stream:
+fn = os.path.join('libpcp', 'module.py')
+with open(fn, 'r', encoding='utf-8') as stream:
     content_text = stream.read()
     
 print(content_text)
 
    
-
-
    - +
    - -
    - -
    - - +
    -
    """
+
    """
 Module: libpcp.module
 Author: Meinard Mueller, International Audio Laboratories Erlangen
 License: The MIT license, https://opensource.org/licenses/MIT
 This file is part of the PCP Notebooks (https://www.audiolabs-erlangen.de/PCP)
-"""
+"""
 
-string = 'This is a test string'
-string_init = 'This is a test string specified in the __init__.py file'
+string = 'This is a test string'
+string_init = 'This is a test string specified in the __init__.py file'
 a, b, c = 1, 2, 3
 
 
 def add(a, b=0, c=0):
-    """Function to add three numbers
+    """Function to add three numbers
 
     Notebook: PCP_10_module.ipynb
 
@@ -13222,44 +13208,41 @@ 
    Python Modules
    -
    -

    The following options import the module module or some of its elements:

    -
    -
    In [3]:
    +
    In [3]:
    -
    -
    import libpcp.module
+
    
+
    import libpcp.module
 result = libpcp.module.add(libpcp.module.a, libpcp.module.b, libpcp.module.c)
 
 from libpcp.module import add
@@ -13271,20 +13254,13 @@ 
    Python Modulesfrom libpcp.module import *
 result = add(a, b, c)
 
    
-
-
    - +
    - -
    - -
    - - +
    Addition:  1  +  2  +  3  =  6
 Addition:  4  +  5  +  0  =  9
@@ -13293,45 +13269,35 @@ 
    Python Modules
    
 
    
 
    
 
    The file variable module.__file__ determines the path where the module was found. Furthermore, when a .py-file is imported as a module, Python sets the variable __name__ to the name of the module. Finally, the help-function shows the documentation of the specified module.
    
-
    -
    In [4]:
    +
    In [4]:
    -
    -
    print('Directory of module:', libpcp.module.__file__)
-print('Name of module:', libpcp.module.__name__)
-print('=======================================')
+
    
+
    print('Directory of module:', libpcp.module.__file__)
+print('Name of module:', libpcp.module.__name__)
+print('=======================================')
 help(libpcp.module)
 
    
-
-
    - +
    - -
    - -
    - - +
    -
    Directory of module: /Users/rosenzweig/Documents/development/PCP/libpcp/module.py
+
    Directory of module: /home/yiit/workspace/python/PCP/libpcp/module.py
 Name of module: libpcp.module
 =======================================
 Help on module libpcp.module in libpcp:
@@ -13359,7 +13325,7 @@ 
    Python ModulesPython Modules
    
 
    
 
    
 
    Note that any .py-file that contains a module can also be executed as a Python script (e.g., module.py). In the case that a file is run as a script, the variable __name__ is set to the string '__main__'. This allows for placing additional statements in the module that are executed only when being run as a script (and not when imported as a module). For example, one can place these elements in a conditional (if) block as follows:
    
-
 
    if (__name__ == '__main__'):
-    Statements only executed when run as a script
    
-
+    Statements only executed when run as a script
+
    -

    -

    Python Packages

    A Python package is a namespace that consists of a directory, which in turn may contain subdirectories (sub-packages) and files (modules). The naming convention follows the hierarchical file structure using dot notation. Opposed to normal directories, a package in Python typically contains a particular file called __init__.py (until Python 3.3, the existence of such a file was even mandatory). This file is automatically executed when the package (or a module in the package) is imported. For example, this allows for initializing package-specific data or for automatically importing specific modules from a package. Continuing our example above, the directory libpcp can be regarded as a package. The content of its initialization file __init__.py is output in the next code cell.

    - +

    +

    Python Packages

    A Python package is a namespace that consists of a directory, which in turn may contain subdirectories (sub-packages) and files (modules). The naming convention follows the hierarchical file structure using dot notation. Opposed to normal directories, a package in Python typically contains a particular file called __init__.py (until Python 3.3, the existence of such a file was even mandatory). This file is automatically executed when the package (or a module in the package) is imported. For example, this allows for initializing package-specific data or for automatically importing specific modules from a package. Continuing our example above, the directory libpcp can be regarded as a package. The content of its initialization file __init__.py is output in the next code cell.

    -
    In [5]:
    +
    In [5]:
    -
    -
    import os
-fn = os.path.join('libpcp', '__init__.py')
-with open(fn, 'r', encoding='utf-8') as stream:
+
    
+
    import os
+fn = os.path.join('libpcp', '__init__.py')
+with open(fn, 'r', encoding='utf-8') as stream:
     content_text = stream.read() 
 print(content_text)
 
    
-
-
    - +
    - -
    - -
    - - +
    from .module import string_init, \
     test_function_init
@@ -13438,43 +13393,33 @@ 
    Python Packages
    
 
    
 
    
 
    Using __init__.py allows a user to call the functions without the need to specify the module name the functions are contained in. In the above example, the string string_init as well as the function test_function_init (which are contained in the module module) can be directly accessed via libpcp. This is demonstrated by the next example.
    
-
    -
    In [6]:
    +
    In [6]:
    -
    -
    import libpcp
+
    
+
    import libpcp
 print(libpcp.string_init)
 libpcp.test_function_init()
-libpcp.test_function_init('Hallo')
+libpcp.test_function_init('Hallo')
 
    
-
-
    - +
    - -
    - -
    - - +
    This is a test string specified in the __init__.py file
 === Test: This is a test string specified in the __init__.py file ===
@@ -13482,25 +13427,22 @@ 
    Python Packages
    
 
    
 
    
 
    To call the other functions and variables in the module module, which are not specified in __init__.py, one needs to first import the module. The following code cell illustrates some options.
    
-
    -
    In [7]:
    +
    In [7]:
    -
    -
    import libpcp.module
+
    
+
    import libpcp.module
 print(libpcp.module.string)
 print(libpcp.module.string_init)
 print(libpcp.string_init)
@@ -13513,20 +13455,13 @@ 
    Python Packagesprint(other_name.string)
 print(other_name.string_init)
 
    
-
-
    - +
    - -
    - -
    - - +
    This is a test string
 This is a test string specified in the __init__.py file
@@ -13538,42 +13473,32 @@ 
    Python Packages
    
 
    
 
    
-
    
-
    The Package libpcp
    As an illustration, we included in the Python package libpcp most of the functions specified in the PCP notebooks. Furthermore, the libpcp also contains the solutions of the exercises in form of functions, which are called in the respective notebooks to show the results (yet, note the source code to be implemented). The package libpcp contains ten modules that correspond to the ten units of the PCP notebooks. In the following code cell, the package LibFMP is imported and its help page is displayed.
    
-
+
    
+
    The Package libpcp
    As an illustration, we included in the Python package libpcp most of the functions specified in the PCP notebooks. Furthermore, the libpcp also contains the solutions of the exercises in form of functions, which are called in the respective notebooks to show the results (yet, note the source code to be implemented). The package libpcp contains ten modules that correspond to the ten units of the PCP notebooks. In the following code cell, the package LibFMP is imported and its help page is displayed.
    -
    In [8]:
    +
    In [8]:
    -
    -
    import libpcp
+
    
+
    import libpcp
 help(libpcp)
 
    
-
-
    - +
    - -
    - -
    - - +
    Help on package libpcp:
 
@@ -13593,50 +13518,40 @@ 
    The Package libpcp
    
 
    
 
    
 
    The __init__.py-file of libpcp was discussed before. Furthermore, using the module module as an example, we showed how to access the functions by first importing the module. In the following example, we import the module complex and show its content.
    
-
    -
    In [9]:
    +
    In [9]:
    -
    -
    import libpcp.complex
+
    
+
    import libpcp.complex
 help(libpcp.complex)
 
    
-
-
    - +
    - -
    - -
    - - +
    Help on module libpcp.complex in libpcp:
 
@@ -13693,7 +13608,7 @@ 
    The Package libpcpThe Package libpcp
    
 
    
 
    
 
    Next, we call the function libpcp.complex.exercise_mandelbrot_fancy, which produces a visualization of the Mandelbrot Set.
    
-
    -
    In [10]:
    +
    In [10]:
    -
    -
    libpcp.complex.exercise_mandelbrot_fancy(save_file=True)
+
    
+
    libpcp.complex.exercise_mandelbrot_fancy(save_file=True)
 
    
-
-
    - +
    - -
    - -
    - - - - -
    - +
    +
    +No description has been provided for this image
    -
    -
    -
    -

    -

    Documentation of Functions

    For documenting the functions contained in libpcp, we follow standard Python style conventions as formulated in the Google Python Style Guide. Except for the solutions to the exercise, the other libpcp-functions are contained in some PCP notebook, where one finds a detailed explanation of the application, the underlying theory, and implementation issues. In the Docstring of a libpcp-function, we specify the PCP notebook where the function is explained and developed. Using the help-function, the following example shows the docstring of the function libpcp.complex.plot_vector. In particular, the information Notebook: PCP_06_complex.ipynb shows that this function is introduced in the PCP Notebook on Complex Numbers with the filename PCP_06_complex.ipynb.

    - +

    +

    Documentation of Functions

    For documenting the functions contained in libpcp, we follow standard Python style conventions as formulated in the Google Python Style Guide. Except for the solutions to the exercise, the other libpcp-functions are contained in some PCP notebook, where one finds a detailed explanation of the application, the underlying theory, and implementation issues. In the Docstring of a libpcp-function, we specify the PCP notebook where the function is explained and developed. Using the help-function, the following example shows the docstring of the function libpcp.complex.plot_vector. In particular, the information Notebook: PCP_06_complex.ipynb shows that this function is introduced in the PCP Notebook on Complex Numbers with the filename PCP_06_complex.ipynb.

    @@ -13794,38 +13691,31 @@

    Documentation of Functions
    -
    In [11]:
    +
    In [11]:
    -
    -
    help(libpcp.complex.plot_vector) 
+
    
+
    help(libpcp.complex.plot_vector) 
 
    
-
-
    - +
    - -
    - -
    - - +
    Help on function plot_vector in module libpcp.complex:
 
-plot_vector(c, color='k', start=0, linestyle='-')
+plot_vector(c, color='k', start=0, linestyle='-')
     Plot arrow corresponding to difference of two complex numbers
     
     Notebook: PCP_06_complex.ipynb
     
     Args:
         c: Complex number
-        color: Color of arrow (Default value = 'k')
+        color: Color of arrow (Default value = 'k')
         start: Complex number encoding the start position (Default value = 0)
-        linestyle: Linestyle of arrow (Default value = '-')
+        linestyle: Linestyle of arrow (Default value = '-')
     
     Returns:
         plt.arrow: matplotlib.patches.FancyArrow
@@ -13833,25 +13723,20 @@ 
    Documentation of Functions
    
 
    
 
    
 
    
-PCP License
+PCP License
+
    -
    -
    +
    +

    - - - - diff --git a/PCP_10_module.ipynb b/PCP_10_module.ipynb index 66557d4..54274ff 100644 --- a/PCP_10_module.ipynb +++ b/PCP_10_module.ipynb @@ -49,27 +49,9 @@ }, { "cell_type": "code", - "execution_count": 1, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.690022Z", - "iopub.status.busy": "2021-09-23T10:11:28.689100Z", - "iopub.status.idle": "2021-09-23T10:11:28.693182Z", - "shell.execute_reply": "2021-09-23T10:11:28.694039Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "['/Users/rosenzweig/Documents/development/PCP', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python37.zip', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/lib-dynload', '', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages/IPython/extensions', '/Users/rosenzweig/.ipython'] \n", - "\n", - "['/Users/rosenzweig/Documents/development/PCP', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python37.zip', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/lib-dynload', '', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages', '/Users/rosenzweig/miniconda3/envs/PCP/lib/python3.7/site-packages/IPython/extensions', '/Users/rosenzweig/.ipython', 'libpcp'] \n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import sys\n", "print(sys.path, '\\n')\n", @@ -88,63 +70,9 @@ }, { "cell_type": "code", - "execution_count": 2, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.699974Z", - "iopub.status.busy": "2021-09-23T10:11:28.699189Z", - "iopub.status.idle": "2021-09-23T10:11:28.705075Z", - "shell.execute_reply": "2021-09-23T10:11:28.705952Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\"\"\"\n", - "Module: libpcp.module\n", - "Author: Meinard Mueller, International Audio Laboratories Erlangen\n", - "License: The MIT license, https://opensource.org/licenses/MIT\n", - "This file is part of the PCP Notebooks (https://www.audiolabs-erlangen.de/PCP)\n", - "\"\"\"\n", - "\n", - "string = 'This is a test string'\n", - "string_init = 'This is a test string specified in the __init__.py file'\n", - "a, b, c = 1, 2, 3\n", - "\n", - "\n", - "def add(a, b=0, c=0):\n", - " \"\"\"Function to add three numbers\n", - "\n", - " Notebook: PCP_10_module.ipynb\n", - "\n", - " Args:\n", - " a: first number\n", - " b: second number (Default value = 0)\n", - " c: third number (Default value = 0)\n", - "\n", - " Returns:\n", - " Sum of a, b and c\n", - " \"\"\"\n", - " d = a + b + c\n", - " print('Addition: ', a, ' + ', b, ' + ', c, ' = ', d)\n", - " return d\n", - "\n", - "\n", - "def test_function_init(string_input = string_init):\n", - " \"\"\"Test function specified in the __init__.py file\n", - "\n", - " Notebook: PCP_10_module.ipynb\n", - "\n", - " Args:\n", - " string_input: Input string (Default value = string_init)\n", - " \"\"\"\n", - " print('=== Test:', string_input, '===')\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import os\n", "\n", @@ -164,27 +92,9 @@ }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.712510Z", - "iopub.status.busy": "2021-09-23T10:11:28.711609Z", - "iopub.status.idle": "2021-09-23T10:11:28.716987Z", - "shell.execute_reply": "2021-09-23T10:11:28.717940Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Addition: 1 + 2 + 3 = 6\n", - "Addition: 4 + 5 + 0 = 9\n", - "Addition: 6 + 0 + 0 = 6\n", - "Addition: 1 + 2 + 3 = 6\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import libpcp.module\n", "result = libpcp.module.add(libpcp.module.a, libpcp.module.b, libpcp.module.c)\n", @@ -208,70 +118,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.725924Z", - "iopub.status.busy": "2021-09-23T10:11:28.724857Z", - "iopub.status.idle": "2021-09-23T10:11:28.729189Z", - "shell.execute_reply": "2021-09-23T10:11:28.729989Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Directory of module: /Users/rosenzweig/Documents/development/PCP/libpcp/module.py\n", - "Name of module: libpcp.module\n", - "=======================================\n", - "Help on module libpcp.module in libpcp:\n", - "\n", - "NAME\n", - " libpcp.module\n", - "\n", - "DESCRIPTION\n", - " Module: libpcp.module\n", - " Author: Meinard Mueller, International Audio Laboratories Erlangen\n", - " License: The MIT license, https://opensource.org/licenses/MIT\n", - " This file is part of the PCP Notebooks (https://www.audiolabs-erlangen.de/PCP)\n", - "\n", - "FUNCTIONS\n", - " add(a, b=0, c=0)\n", - " Function to add three numbers\n", - " \n", - " Notebook: PCP_10_module.ipynb\n", - " \n", - " Args:\n", - " a: first number\n", - " b: second number (Default value = 0)\n", - " c: third number (Default value = 0)\n", - " \n", - " Returns:\n", - " Sum of a, b and c\n", - " \n", - " test_function_init(string_input='This is a test string specified in the __init__.py file')\n", - " Test function specified in the __init__.py file\n", - " \n", - " Notebook: PCP_10_module.ipynb\n", - " \n", - " Args:\n", - " string_input: Input string (Default value = string_init)\n", - "\n", - "DATA\n", - " a = 1\n", - " b = 2\n", - " c = 3\n", - " string = 'This is a test string'\n", - " string_init = 'This is a test string specified in the __init__.py file...\n", - "\n", - "FILE\n", - " /Users/rosenzweig/Documents/development/PCP/libpcp/module.py\n", - "\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "print('Directory of module:', libpcp.module.__file__)\n", "print('Name of module:', libpcp.module.__name__)\n", @@ -303,26 +152,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.736251Z", - "iopub.status.busy": "2021-09-23T10:11:28.735238Z", - "iopub.status.idle": "2021-09-23T10:11:28.739585Z", - "shell.execute_reply": "2021-09-23T10:11:28.740425Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "from .module import string_init, \\\n", - " test_function_init\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import os\n", "fn = os.path.join('libpcp', '__init__.py')\n", @@ -340,26 +172,9 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.747298Z", - "iopub.status.busy": "2021-09-23T10:11:28.746550Z", - "iopub.status.idle": "2021-09-23T10:11:28.749184Z", - "shell.execute_reply": "2021-09-23T10:11:28.749907Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "This is a test string specified in the __init__.py file\n", - "=== Test: This is a test string specified in the __init__.py file ===\n", - "=== Test: Hallo ===\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import libpcp\n", "print(libpcp.string_init)\n", @@ -376,30 +191,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.757021Z", - "iopub.status.busy": "2021-09-23T10:11:28.756192Z", - "iopub.status.idle": "2021-09-23T10:11:28.759210Z", - "shell.execute_reply": "2021-09-23T10:11:28.760234Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "This is a test string\n", - "This is a test string specified in the __init__.py file\n", - "This is a test string specified in the __init__.py file\n", - "This is a test string\n", - "This is a test string specified in the __init__.py file\n", - "This is a test string\n", - "This is a test string specified in the __init__.py file\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import libpcp.module\n", "print(libpcp.module.string)\n", @@ -427,47 +221,9 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.766925Z", - "iopub.status.busy": "2021-09-23T10:11:28.766046Z", - "iopub.status.idle": "2021-09-23T10:11:28.770757Z", - "shell.execute_reply": "2021-09-23T10:11:28.771518Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Help on package libpcp:\n", - "\n", - "NAME\n", - " libpcp\n", - "\n", - "PACKAGE CONTENTS\n", - " complex\n", - " control\n", - " dft\n", - " exp\n", - " getstarted\n", - " module\n", - " numpy\n", - " python\n", - " signal\n", - " vis\n", - "\n", - "DATA\n", - " string_init = 'This is a test string specified in the __init__.py file...\n", - "\n", - "FILE\n", - " /Users/rosenzweig/Documents/development/PCP/libpcp/__init__.py\n", - "\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import libpcp\n", "help(libpcp)" @@ -482,108 +238,9 @@ }, { "cell_type": "code", - "execution_count": 9, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:28.776567Z", - "iopub.status.busy": "2021-09-23T10:11:28.775489Z", - "iopub.status.idle": "2021-09-23T10:11:29.456930Z", - "shell.execute_reply": "2021-09-23T10:11:29.457656Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Help on module libpcp.complex in libpcp:\n", - "\n", - "NAME\n", - " libpcp.complex\n", - "\n", - "DESCRIPTION\n", - " Module: libpcp.complex\n", - " Author: Meinard Mueller, International Audio Laboratories Erlangen\n", - " License: The MIT license, https://opensource.org/licenses/MIT\n", - " This file is part of the PCP Notebooks (https://www.audiolabs-erlangen.de/PCP)\n", - "\n", - "FUNCTIONS\n", - " exercise_complex(show_result=True)\n", - " Exercise 1: Rotate Complex Number\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " show_result: Show result (Default value = True)\n", - " \n", - " exercise_mandelbrot(show_result=True)\n", - " Exercise 3: Mandelbrot Set\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " show_result: Show result (Default value = True)\n", - " \n", - " exercise_mandelbrot_fancy(show_result=True, save_file=False)\n", - " Exercise 3: Mandelbrot Set (more fancy version)\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " show_result: Show result (Default value = True)\n", - " save_file: Save figure to .png (Default value = False)\n", - " \n", - " exercise_polynomial(show_result=True)\n", - " Exercise 2: Roots of Polynomial\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " show_result: Show result (Default value = True)\n", - " \n", - " generate_figure(figsize=(2, 2), xlim=[0, 1], ylim=[0, 1])\n", - " Generate figure for plotting complex numbers\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " figsize: Width, height in inches (Default value = (2, 2))\n", - " xlim: Limits for x-axis (Default value = [0, 1])\n", - " ylim: Limits for y-axis (Default value = [0, 1])\n", - " \n", - " plot_polar_vector(c, label=None, color=None, start=0, linestyle='-')\n", - " Plot arrow in polar plot\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " c: Complex number\n", - " label: Label of arrow (Default value = None)\n", - " color: Color of arrow (Default value = None)\n", - " start: Complex number encoding the start position (Default value = 0)\n", - " linestyle: Linestyle of arrow (Default value = '-')\n", - " \n", - " plot_vector(c, color='k', start=0, linestyle='-')\n", - " Plot arrow corresponding to difference of two complex numbers\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " c: Complex number\n", - " color: Color of arrow (Default value = 'k')\n", - " start: Complex number encoding the start position (Default value = 0)\n", - " linestyle: Linestyle of arrow (Default value = '-')\n", - " \n", - " Returns:\n", - " plt.arrow: matplotlib.patches.FancyArrow\n", - "\n", - "FILE\n", - " /Users/rosenzweig/Documents/development/PCP/libpcp/complex.py\n", - "\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "import libpcp.complex\n", "help(libpcp.complex)" @@ -598,29 +255,9 @@ }, { "cell_type": "code", - "execution_count": 10, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:29.466061Z", - "iopub.status.busy": "2021-09-23T10:11:29.464438Z", - "iopub.status.idle": "2021-09-23T10:11:30.328172Z", - "shell.execute_reply": "2021-09-23T10:11:30.328857Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "libpcp.complex.exercise_mandelbrot_fancy(save_file=True)" ] @@ -646,39 +283,9 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": { - "execution": { - "iopub.execute_input": "2021-09-23T10:11:30.334134Z", - "iopub.status.busy": "2021-09-23T10:11:30.333057Z", - "iopub.status.idle": "2021-09-23T10:11:30.336915Z", - "shell.execute_reply": "2021-09-23T10:11:30.337652Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Help on function plot_vector in module libpcp.complex:\n", - "\n", - "plot_vector(c, color='k', start=0, linestyle='-')\n", - " Plot arrow corresponding to difference of two complex numbers\n", - " \n", - " Notebook: PCP_06_complex.ipynb\n", - " \n", - " Args:\n", - " c: Complex number\n", - " color: Color of arrow (Default value = 'k')\n", - " start: Complex number encoding the start position (Default value = 0)\n", - " linestyle: Linestyle of arrow (Default value = '-')\n", - " \n", - " Returns:\n", - " plt.arrow: matplotlib.patches.FancyArrow\n", - "\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "help(libpcp.complex.plot_vector) " ] @@ -696,7 +303,7 @@ "metadata": { "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -710,7 +317,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.9.17" } }, "nbformat": 4, diff --git a/environment.yml b/environment.yml index 10aa0d4..bc63dd7 100644 --- a/environment.yml +++ b/environment.yml @@ -5,16 +5,14 @@ channels: # conda channels from which packages are downloaded - conda-forge dependencies: - - python=3.7.* # Plain Python - - pip=19.2.* # Package installer for Python - - numpy=1.17.* # NumPy - - matplotlib=3.1.* # Matplotlib + - python=3.9.* # Plain Python + - pip=23.2.* # Package installer for Python + - numpy=1.25.* # NumPy + - matplotlib=3.7.* # Matplotlib # Jupyter Notebook dependencies: - - ipython=7.8.* - - jupyter=1.0.* - - jupyter_client=6.1.* # prevents server error - - jupyter_contrib_nbextensions=0.5.* # spell checker + - ipython=8.12.* + - jupyter=1.0.* # prevents server error + - jupyter_contrib_nbextensions=0.7.* # spell checker - pip: # Packages that are installed via pip - - nbstripout==0.3.* # strip notebook output - - notebook>=6.4.4 # fixes Markdown table rendering - - nbconvert==5.6.* # HTML export + - nbstripout==0.6.* # strip notebook output + - nbconvert==7.7.* # HTML export diff --git a/libpcp/complex.py b/libpcp/complex.py index 5c61375..e9a6d94 100644 --- a/libpcp/complex.py +++ b/libpcp/complex.py @@ -6,6 +6,7 @@ """ import os +import warnings import numpy as np from matplotlib import pyplot as plt from matplotlib.colors import LinearSegmentedColormap @@ -243,7 +244,7 @@ def exercise_mandelbrot_fancy(show_result=True, save_file=False): thresh = 1000 mandel_iter = np.zeros((M, N)) - np.warnings.filterwarnings('ignore') + warnings.filterwarnings('ignore') Z = np.zeros((M, N)) for k in range(iter_max): Z = Z * Z + C diff --git a/libpcp/vis.py b/libpcp/vis.py index 5014de3..770faeb 100644 --- a/libpcp/vis.py +++ b/libpcp/vis.py @@ -166,12 +166,12 @@ def exercise_plot3d(show_result=True): f = np.sinc(3*X) + np.sinc(3*Y) fig = plt.figure(figsize=(10, 6)) - ax = fig.gca(projection='3d') + ax = fig.add_subplot(projection='3d') ax.plot_surface(X, Y, f, cmap='coolwarm') plt.show() fig = plt.figure(figsize=(10, 6)) - ax = fig.gca(projection='3d') + ax = fig.add_subplot(projection='3d') ax.plot_wireframe(X, Y, f) plt.show() diff --git a/tools/notebook_batch.py b/tools/notebook_batch.py index 2f5986b..ecf1a94 100755 --- a/tools/notebook_batch.py +++ b/tools/notebook_batch.py @@ -25,7 +25,7 @@ if args.mode == 'execute': opt = '--ExecutePreprocessor.timeout=3600 --to notebook --execute --inplace' if args.mode == 'html': - opt = '--to html' #'--template classic' + opt = '--to html --template classic' for dirpath, dirnames, filenames in os.walk(args.directory):